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Topic: Hilbert Smith conjecture

	Art Fresh : Article 'Hilbert's Nullstellensatz' (Site not responding. Last check: 2007-09-07)
		Hilbert's Nullstellensatz (German: "theorem of zeros") is a theorem in algebraic geometry that relates varieties and ideals in polynomial rings over algebraically closed fields.
		Hilbert's Nullstellensatz states that if p is some polynomial in K [ X 1, X 2,..., X n ] which vanishes on the variety V(I), i.e.
		Hilbert helped provide the basis for the theory of automata which was later built upon by computer scientist Alan Turing.
	www.art-fresh.net /DisplayArticle405112.html (582 words)

	Hilbert Smith conjecture (Site not responding. Last check: 2007-09-07)
		In mathematics, the Hilbert-Smith conjecture is concernedwith the transformation groups of manifolds ; and in particular with the limitations on topological groups G that can act effectively (faithfully) on a (topological) manifoldM.
		The naming of the conjecture is for David Hilbert, and the Americantopologist Paul A. Smith.
		It isconsidered by some to be a better formulation of Hilbert's fifth problem, than the characterisation in the category of topological groups of the Liegroups often cited as a solution.
	www.therfcc.org /hilbert-smith-conjecture-220599.html (175 words)

	List of conjectures - Wikipedia, the free encyclopedia
		Erdős conjecture, which lists conjectures of Paul Erdős and his collaborators
		Blattner's conjecture (now often known as the Blattner formula)
		Epsilon conjecture (an intermediate on the way to Fermat's last theorem)
	en.wikipedia.org /wiki/List_of_conjectures (120 words)

	Business Software Review : Article 'Hilbert's basis theorem' (Site not responding. Last check: 2007-09-07)
		In mathematics, Hilbert's basis theorem, first proved by David Hilbert in 1888, states that, if k is a field, then every ideal in the ring of multivariate polynomials k[x1, x2,..., xn] is finitely generated.
		Hilbert produced an innovative proof by contradiction using mathematical induction; his method does not give an algorithm to produce the finitely many basis polynomials for a given ideal: it only shows that they must exist.
		A slightly more general statement of Hilbert's basis theorem is: if R is a left (respectively right) Noetherian ring, then the polynomial ring R[X] is also left (respectively right) Noetherian.
	www.business-software-review.org /DisplayArticle41734.html (424 words)

	The governing PDEs of nonlinear elasticity and the Hilbert-Smith conjecture (Site not responding. Last check: 2007-09-07)
		The governing PDEs of nonlinear elasticity and the Hilbert-Smith conjecture
		Here we relate the questions of unique analytic continuation for these systems to a central problem in the theory of transformation groups, namely the Hilbert-Smith Conjecture (the geometric version of Hilbert's 5th problem concerning Lie groups).
		We are able to solve this conjecture in the elliptic setting and present a surprising application to these PDEs.
	math.berkeley.edu /~zworski/gave/gave.html (140 words)

	MASS - Colloquia 1999
		Thur, Oct 21 Yulij Ilyashenko (Cornell) 3:00 pm Hilbert's 16th Problem Near Its Centenary Abstract: The second part of the 16th problem appeared to be one of the most difficult in the Hilbert's list.
		Thur, Nov 11 Alexander Dranishnikov (Penn State) 3:00 pm On the Hilbert-Smith Conjecture Abstract: The Hilbert-Smith conjecture is a remaining branch of the fifth Hilbert problem.
		We begin with a little known and disastrous solution to Hilbert's Fifth Problem that was published in the Annals of Mathematics in 1957.
	www.math.psu.edu /mass/colloquia/1999 (860 words)

	Colloquia and Special Seminar Listings (Site not responding. Last check: 2007-09-07)
		ABSTRACT: While they were Junior Fellows at Harvard in the 1930's, J.C. Oxtoby and S.M. Ulam worked on the conjecture of G.D. Birkhoff that ergodicity is the `general case' for volume preserving homeomorphisms of the cube (or a compact manifold).
		Under the guidance of M. Stone, they proved this conjecture in an important paper published in 1941.
		the Hilbert-Smith conjecture, whose proof we present in the elliptic case.
	www.math.wesleyan.edu /Seminars/special.htm (978 words)

	Topfest 99 -- Abstracts
		Free-Set Z-Set (FSZS) Conjecture: Given any action by a cantor group on an ENR (= euclidean neighborhood retract), the free set of the action is a homology Z-set (in the ENR).
		The FSZS Conjecture can be regarded as a sort of Super Hilbert-Smith Conjecture, the HSC being the case where the ENR is a manifold.
		The Poincare Conjecture is a special case of this conjecture.
	www.math.cornell.edu /~festival/1999/99abstracts.html (1415 words)

	Algebra Seminar Listings (Site not responding. Last check: 2007-09-07)
		The goal of the first part of this talk will be to explain this conjecture.
		He has recently completed this program in the case that $M$ has incompressible boundary, with the assistance of Brock, Canary and Masur.
		In this talk we explore a facinating connection between the geometry of these mappings, uniqueness and analytic continuation theory for the nonlinear PDEs and a central problem in the theory of transformations groups, namely the Hilbert-Smith conjecture, whose proof we present in the elliptic case.
	www.wesleyan.edu /math/Seminars/analysis.htm (650 words)

	[BilgiMath] Bibliography on Hilbert's Tenth Problem and on some Decidability Questions (Site not responding. Last check: 2007-09-07)
		Goodstein Hilbert's Tenth Problem and the independence of recursive difference, The Journal of the London Mathematical Society (Second Series), 10(2), pp.
		Thanases Pheidas, Hilbert's Tenth Problem for a class of rings of algebraic integers, Proceedings of the American Mathematical Society, 104(2), pp.
		Ken Hirose, A conjecture on Hilbert's 10th Problem, Commentarii Mathematici Universitatis Sancti Pauli, 17(1), pp.
	math.bilgi.edu.tr /pipermail/math/2002-September/000148.html (2137 words)

	[No title]
		Light Open Mappings On Compact n-Manifolds Do Not Raise Dimension And A Proof Of The Hilbert-Smith Conjecture by Louis F. McAuley Suppose that M is a compact n-manifold and OE is a light open mapping of M o* *nto a metric space Y.
		The Hilbert-Smith Conjecture The Hilbert-Smith Conjecture states that if G is a locally compact group whi* ch acts effectively on a connected manifold as a topological transformation group, then * G is a Lie group.
		It is well known that if a locally compact group G acts effectively on a con* nected n- manifold M and G is not a Lie group [6], then there is a subgroup H of G isomor *phic to a p-adic group Ap which acts effectively on M.
	hopf.math.purdue.edu /McAuley/lfmlight7.txt (1414 words)

	[BilgiMath] Bilgi'de Topoloji Konferansi (Hilbert-Smith Conjecture) (Site not responding. Last check: 2007-09-07)
		Dusan Repovs, University of Ljublijana, Slovenia “The History of The Hilbert-Smith Conjecture” 10:45-11:10.
		Louis McAuley, Istanbul Bilgi University, “A Proof of the Hilbert-Smith Conjecture” Lecture I 12:10-1:30.
		Louis F. McAuley, Istanbul Bilgi University, “A proof of the Hilbert-Smith Conjecture”, Lecture II 02:30-02:45.
	cs.bilgi.edu.tr /pipermail/math/2002-September/000155.html (310 words)

	Hilbert's 23 Unsolved Problems
		In 1900, David Hilbert addressed the International Congress of Mathmaticians in Paris.
		This problem was solved by John von Neumann (1930) and Andrew Glean (1952) for bicompact groups, for the Abelian case and the solvable case by Montgomery and Zipin (1952), followed by Yamabe (1953).
		By explicitly constructing Hilbert class fields using special values, extend a thereom of Kronecker to arbitrary algebraic fields.
	www.andrews.edu /~calkins/math/biograph/199899/tophilpr.htm (498 words)

	[No title]
		A Proof Of The Hilbert-Smith Conjecture by Louis F. McAuley Dedicated to the memory of Deane Montgomery Abstract The Hilbert-Smith Conjecture states that if G is a locally compact group whi* ch acts effectively on a connected manifold as a topological transformation group, then * G is a Lie group.
		His work is generalized to the orbit map of an effective action of a p-* *adic group on compact connected n-manifolds with the aid of some new ideas.
		It is proved here that the answer to this question is No. Thus, the Hilbert-* Smith Con- jecture is true, i.e., A locally compact group acting effectively on a connecte *d n-manifold must be a Lie group.
	hopf.math.purdue.edu /McAuley/mcauleypaper.txt (4603 words)

	RSNZ/ (Site not responding. Last check: 2007-09-07)
		In 1900, German mathematician David Hilbert compiled 23 mind-bogglers for the international maths congress in Paris to challenge his colleagues and set out a research programme.
		Hilbert's fifth problem asks "to develop Lie's theory of continuous groups without the assumptions of differentiability".
		Martin says that Hilbert's question has been interpreted to ask if every continuous transformation group of a nice space is a matrix group after a change of co-ordinates.
	www.rsnz.org /funding/marsden_fund/new8_Jul99.php (5327 words)

	Hilbert-Smith conjecture - Encyclopedia Glossary Meaning Explanation Hilbert-Smith conjecture (Site not responding. Last check: 2007-09-07)
		Hilbert-Smith conjecture - Encyclopedia Glossary Meaning Explanation Hilbert-Smith conjecture.
		Here you will find more informations about Hilbert-Smith conjecture.
		The orginal Hilbert-Smith conjecture article can be editet
	www.encyclopedia-glossary.com /en/Hilbert-Smith-conjecture.html (261 words)

	UF Topology Seminar
		The purpose of this construction is to provide a tool to attack what remains of the generalized Hilbert-Smith Conjecture.
		Bob Edwards is claiming to have solved an important case of this and this space plays an important role.
		Richard Schori and James West proved that this space was homeomorphic to the Hilbert cube.
	www.math.ufl.edu /%7Ejek/TopFall99.html (1055 words)

	Kids Be Safe : Article 'Hilbert's problems' (Site not responding. Last check: 2007-09-07)
		Hilbert's problems are a list of 23 problems in mathematics put forth by German mathematician David Hilbert in the Paris conference of the International Congress of Mathematicians in 1900.
		In mathematics, Hilbert's fourth problem in the 1900 Hilbert problems was a foundational question in geometry.
		In one statement derived from the original, it was to find geometries whose axioms are closest to those of Euclidean geometry if the ordering and incidence axioms are retained, the congruence axioms weakened, and the equivalent of the parallel postulate omitted.
	www.kidsbesafe.org /DisplayArticle159046.html (2735 words)

	Hilbert-Smith conjecture - Encyclopedia, History, Geography and Biography
		Hilbert-Smith conjecture - Encyclopedia, History, Geography and Biography
		This page was last modified 18:38, 22 Mar 2005.
		This encyclopedia, history, geography and biography article about Hilbert-Smith conjecture contains research on
	www.arikah.net /encyclopedia/Hilbert-Smith_conjecture (231 words)

	Summer 2001
		The following conjecture and it's relationship to the non-separating plane fixed point problem will be discussed.
		Suppose A and B are disjoint arcs, p is a point that is neither in A or in B, k is a positive integer, f maps the unit interval onto A, and g maps the unit interval onto B.
		The Hilbert-Smith (H-S) conjecture states that a p-adic group cannot act effectively on a manifold.
	camel.math.ca /CMS/Events/summer01/abs/gt.html (2254 words)

	Titles & Abstracts
		Lastly, we will discuss some partial results and approaches to finding such a characterization for codimension one hyperbolic attractors of three manifolds.
		In 1977 the second author and Michal Misiurewicz proved that EC holds for all continuous mappings on tori.
		These ideas may be applied to the problem of spurious Lyapunov exponents, to embedding theory, and to the Hilbert-Smith conjecture.
	www.math.udel.edu /GeomDyn/talks.html (1970 words)

	[No title]
		In an appendix independent of the rest of the paper, we use ideas from Goodwillie calculus to show that such natural stable splittings are unique, and discuss three different constructions showing their existence.
		At the time it was originally proposed over 20 years ago, the telescope conjecture appeared to be the simplest and most plausible statement about the relationship between two different localization functors.
		The title is A Proof of the Hilbert-Smith Conjecture by Louis F. McAuley (The Hilbert-Smith conjecture is the one about a topological group having to be a Lie group under certain conditions).
	www.lehigh.edu /~dmd1/h65 (925 words)

	Atlas: Cantor Groups and the Free-Set Z-Set Conjecture by Robert Edwards (Site not responding. Last check: 2007-09-07)
		The FSZS Conjecture is: Given any action by a cantor group on an ENR (= euclidean neighborhood retract), the free set of the action is a homology Z-set (in the ENR).
		This can be regarded as a sort of Super Hilbert-Smith Conjecture, the HSC being the case where the ENR is a manifold.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caca-56.
	atlas-conferences.com /cgi-bin/abstract/caca-56 (168 words)

	AMCA: Hilbert-Smith Conjecture: The Lipschitz Case by Dusan Repovs (Site not responding. Last check: 2007-09-07)
		A paper, written jointly with Evgenij V. Scepin, will be presented.
		Its major result is a proof of the Lipschitz case of the classical Hilbert-Smith Conjecture, to the effect that the p-adic integers cannot act freely with Lipschitz maps on any closed manifold.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
	at.yorku.ca /c/a/a/b/71.htm (87 words)

	Inside Binghamton University
		Retired Binghamton mathematics professor Louis F. McAuley will present his solution to a long-standing math problem, the Hilbert-Smith Conjecture, at a conference in Istanbul, September 20-23.
		McAuley, who has been working on the problem for 15 years, will be the keynote speaker at a conference at Istanbul Bilgi University that is devoted to discussing the conjecture and McAuley’s solution.
		The solution to this conjecture which is essentially Hilbert’s Fifth Problem generalized, was posed in 1900 by the famous mathematician, David Hilbert.
	inside.binghamton.edu /September-October/12sept02/conf.html (356 words)

	GT Vol 8 (2004) Paper 14 (Abstract) (Site not responding. Last check: 2007-09-07)
		Simon Donaldson and Ivan Smith recently studied symplectic surfaces in symplectic 4-manifolds X by introducing an invariant DS associated to any Lefschetz fibration on blowups of X which counts holomorphic sections of a relative Hilbert scheme that is constructed from the fibration.
		Smith has shown that DS satisfies a duality relation identical to that satisfied by the Gromov invariant Gr introduced by Clifford Taubes, which led Smith to conjecture that DS=Gr provided that the fibration has high enough degree.
		The crucial technical ingredient is an argument which allows us to work with curves C in the blown-up 4-manifold that are made holomorphic by an almost complex structure which is integrable near C and with respect to which the fibration is a pseudoholomorphic map.
	www.emis.de /journals/GT/GTVol8/paper14.abs.html (140 words)

	Topology News - 20 Jun 2002
		Armand Borel, IAS, Princeton, N.J., USA Homology of Transformation Groups, a Survey Dusan Repovs, University of Ljublijana, Slovenia The History of the Hilbert Smith Conjecture A.
		So, it would be appropriate to have talks concerning zero-open maps.) the deadline for submission of abstracts: July 31, 2002.
		These included the Morita conjectures, the small Dowker space problem, Bing's problem on screenable spaces, and his contributions to the solution of the Moore-Mrowka problem.
	at.yorku.ca /i/a/a/i/83.htm (789 words)

	[No title] (Site not responding. Last check: 2007-09-07)
		1985 Newman's theorem and the Hilbert-Smith conjecture, Proceedings of the Boulder Conference on Group Actions on Manifolds, Amer.
		(with H. Ku) 1991 Eigenbalue estimates and the generalized Polya conjecture, Bull.
		1992 Inequalities for eigenvalues of elliptic equations and the generalized Polya conjecture, Jour.
	www.math.umass.edu /Fac_Staff_Students/Faculty/M.C._Ku/publ (633 words)

	[No title]
		This is the author's first attempt to understand sheaves, so comments from those more experienced with the subject are welcome.
		http://hopf.math.purdue.edu/cgi-bin/generate?/pub/McAuley/hs Author: Louis F. McAuley Title: A Proof of the Hilbert-Smith Conjecture E-mail: louis@math.binghamton.edu The Hilbert-Smith conjecture is that if G is a locally compact group which acts effectively on a compact connected n-manifold M as a topological transformation group, then G is a Lie group.
		If G is not a Lie group, then G contains a group isomorphic to a p-adic group A_p which acts effectively on M. It is shown in this paper that A_p can not act effectively on M and, consequently, the Hilbert-Smith Conjecture is true.
	www.lehigh.edu /~dmd1/h920 (713 words)

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