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Topic: Norman Steenrod


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In the News (Wed 2 Dec 09)

  
  Norman Steenrod - Wikipedia, the free encyclopedia
Norman Earl Steenrod (April 22, 1910–October 14, 1971) was a leading mathematician, working in the field of topology.
He held positions at the University of Chicago from 1939 to 1942, the University of Michigan from 1942 to 1947, and then at Princeton University.
Norman Steenrod at the MacTutor History of Mathematics archive.
en.wikipedia.org /wiki/Norman_Steenrod   (147 words)

  
 NORMAN STEENROD
Norman Steenrod (1910-1971) was one of the leading topologists of the twentieth century.
Steenrod was born and raised in Dayton, Ohio.
Steenrod was able to define operations from one cohomology group to another that generalized the cup-square.
www.usna.edu /Users/math/meh/steenrod.html   (704 words)

  
 Steenrod (print-only)
Norman attended school in Dayton and he was such an outstanding pupil that he was able to complete the twelve school years in only nine.
In 1927 Steenrod enrolled at the University of Miami at Oxford, Ohio.
Steenrod received many honours for his major contribution to topology, the most important of which was his election to the National Academy of Sciences.
www-groups.dcs.st-and.ac.uk /history/Printonly/Steenrod.html   (1122 words)

  
 A Guide to the Norman Earl Steenrod Papers, 1911, 1948-1970
Steenrod's research interests are represented by a manuscript of Foundations of Algebraic Topology (1952), written with Samuel Eisenberg, by notes for several lectures, and by material relating to research grants (1963-1970).
Steenrod's work for the American Mathematical Society is represented by records (6 in.) of the Colloquium Committee (1962-1970) and the committees on Mathematical Reviews (1964-1966), the manual for authors (1959-1966), and the organization of the 1963 Summer Institute.
Steenrod's interest in education is reflected in records of his work with the Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (1966-1969) and the preparation of his First Concepts of Topology, written with W. Chinn (1966) for the School Mathematics Study Group Monograph Panel.
www.lib.utexas.edu /taro/utcah/00302/00302-P.html   (653 words)

  
 TARO 2 EAD 2002 Editing Instructions.
Norman Earl Steenrod (1910-1971) was a central figure in the post World War II development of algebraic topology.
Steenrod returned to Princeton permanently after short periods on the faculties of the University of Chicago (1939-1942) and the University of Michigan (1942-1947).
Steenrod's study of homology classification led to his work on cohomology operations, in particular to the Steenrod algebra.
www.lib.utexas.edu /taro/utcah/00302.xml   (577 words)

  
 Norman Steenrod - TheBestLinks.com - April 22, Mathematician, October 14, Topology, ...   (Site not responding. Last check: 2007-10-09)
Norman Steenrod - TheBestLinks.com - April 22, Mathematician, October 14, Topology,...
Steenrod, Norman Steenrod, April 22, Mathematician, October 14, Topology...
Norman Earl Steenrod (April 22, 1910 - October 14, 1971) was a leading mathematician, working in the field of topology.
www.thebestlinks.com /Steenrod.html   (112 words)

  
 Steenrod   (Site not responding. Last check: 2007-10-09)
He took just one mathematics course but it was an important one for the future direction of his research, for he took a topology course given by Raymond Wilder who had been a student of Robert Moore.
Wilder and Lefschetz put a strong case to Princeton for them to offer Steenrod a fellowship but even after achieving this it still took all their powers of persuasion to convince Steenrod to take up the Princeton offer.
Finally we mention the important work which Steenrod did on homology theories which appeared in the famous book Foundations of algebraic topology which he wrote with Samuel Eilenberg and was published in 1952.
202.38.126.65 /mirror/www-history.mcs.st-and.ac.uk/history/Mathematicians/Steenrod.html   (1113 words)

  
 Citations: The Topology of Fibre Bundles - Steenrod (ResearchIndex)   (Site not responding. Last check: 2007-10-09)
Steenrod, The Topology of Fibre Bundles, Princeton, 1951.
Norman Steenrod, The topology of fibre bundles, Princeton University Press, Princeton, NJ, 1951.
Norman E. Steenrod, The Topology of Fibre Bundles, (Princeton, 1951).
citeseer.ist.psu.edu /context/219161/0   (2908 words)

  
 The Topology of Fibre Bundles. (PMS-14) Norman Steenrod Princeton University Press Paperback
True, more slick machinery has been developed since Steenrod's time, but those big machines are hardly transparent.
Steenrod assumes very little of the reader; he even has a quick course in homotopy groups, although he assumes the reader knows the basics of homology/cohomology.
Perhaps most importantly, since many of the ideas in the book were new at the time, he doesn't assume that the reader is already comfortable with those ideas.
www.removal-spyware.com /software/viewproduct.php?country=us&asin=0691005486   (658 words)

  
 Norman Earl Steenrod (b.1910, d.1971) All publications   (Site not responding. Last check: 2007-10-09)
Steenrod, Norman E. The topology of fibre bundles
Steenrod, Norman Earl; Peterson, F. The Steenrod algebra and its applications: a conference to celebrate N. Steenrod's sixtieth birthday: Proceedings of the conference held at the Battelle Memorial Institute, Columbus, Ohio, March 30th-April 4th, 1970
Steenrod, N. Reviews of papers in algebraic and differential topology, topological groups, and homological algebra
www.getcited.org /mbrx/PT/99/MBR/10132130   (89 words)

  
 Citations: American Mathematical Society - Steenrod, Halmos, Schiffer, Dieudonne, Write (ResearchIndex)   (Site not responding. Last check: 2007-10-09)
Norman E. Steenrod, Paul R. Halmos, Menahem M. Schi#er, and Jean A. Dieudonne.
Norman E. Steenrod, Paul R. Halmos, Menahem M. Schiffer, and Jean A. Dieudonn'e.
He said that doing that was typographically difficult, but these days it is a trivial change to the T E X header file.
citeseer.ist.psu.edu /context/118726/0   (561 words)

  
 Convenient topology by Som Naimpally
However, in the literature it is often attributed to Norman Steenrod's 1967 paper [8].
It was well-known at the time of Steenrod's paper how to do the non-Hausdorff case (take final topologies).
There is another mathematical point that is worth making, namely that in Brown's paper, using k-continuous functions, he gets a homeomorphism for the exponential law, whereas Steenrod gets only a homeomorphism on the k-ifications.
at.yorku.ca /t/o/p/d/53.htm   (391 words)

  
 [No title]
Norman E. Steenrod of Princeton University, collaborated in studying algebraic topology.
They set out their findings in a 1952 book, "Foundations of Algebraic Topology" (Books on Demand), which is one of the primary sources in the field.
He and a co-author, Norman Steenrod of Princeton University, collaborated in studying algebraic topology.
www.lehigh.edu /~dmd1/eilobit   (877 words)

  
 Norman Steenrod: bio and encyclopedia article   (Site not responding. Last check: 2007-10-09)
Norman Earl Steenrod (April 22, EHandler: no quick summary.
See also: Steenrod operation, EHandler: no quick summary.
Karol borsuk (may 8 1905 - january 24, EHandler: no quick summary.
www.absoluteastronomy.com /encyclopedia/n/no/norman_steenrod.htm   (687 words)

  
 Filtered spaces admitting spectral sequence operations., Lewis Shilane
[3] William M. Singer, Steenrod squares in spectral sequences, I, II, unpublished notes, Dept. of Mathematics, Boston College, Chestnut Hill, Mass.
[6] Norman E. Steenrod, A convenient category of topological spaces, Michigan J. Math., 14 (1967), 133-152.
[7] Norman E. Steenrod, Milgram's classifying space of a topological group, Topology, 7 (1968), 349-368.
projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.pjm/1102867739   (170 words)

  
 Projects in Topology, Geometry and Combinatorics, Department of Mathematics, Univ. of Manchester, UK
STEENROD ALGEBRA: Much of our work is collaborative, and centres around the Steenrod Algebra of stable operations in mod 2 cohomology and its action on rings of polynomials.
This algebra was discovered by the topologist Norman Steenrod in 1947, but we are now developing applications in areas which are purely algebraic, and even in iteration theory and computation.
REPRESENTATIONS: The action of the Steenrod Algebra commutes with that of matrices on polynomials by linear substitution, bringing the representation theory of the general linear groups over a finite field into play.
www.ma.man.ac.uk /DeptWeb/Groups/Pure/TopologyProjects.html   (1141 words)

  
 David Epstein 1998   (Site not responding. Last check: 2007-10-09)
David Epstein's publications span an exceptionally wide range of mathematics, covering the entire spectrum of topology and related areas from pure group theory to abstract homotopy theory.
Among his early publications are the standard reference for Steenrod operations (with Norman Steenrod), papers on 3-dimensional manifolds (notably, the projective plane theorem), on ends (of spaces and groups), on curves on surfaces and on the Eilenberg-Zilber Theorem.
In 1970 he solved a long-standing problem on 1-dimensional foliations, proving that every 1-dimensional foliation of a closed 3-manifold, with all leaves compact, is given by a periodic flow, and this led to a series of papers on foliations.
www.univie.ac.at /EMIS/journals/GT/David_Epstein.html   (426 words)

  
 Mathematical Career
At the time Norman Steenrod was writing his classic book on the topology of fiber bundles and teaching a course based on it.
Bott describes Steenrod with admiration as someone who treated high and low alike, with equal respect.
This was quite often a boon to the others in the audience, too intimidated and too befuddled to ask the questions themselves.
www.math.harvard.edu /history/bott/bottbio/node4.html   (451 words)

  
 Faculty Remembered
In 1966 Spanier published the first comprehensive textbook in algebraic topology: it is still in wide use as a text and standard reference.
After gaining his doctorate at the University of Michigan in 1947, under the direction of Norman Steenrod, Spanier held a postdoctoral fellowship at the Institute for Advanced Study in Princeton, N.J. In 1948 he joined the faculty of mathematics at the University of Chicago.
He left Chicago in 1959 to accept appointment as Professor of Mathematics in Berkeley where he taught and continued his research until his retirement in 1991.
math.berkeley.edu /publications/newsletter/1996/facultyremembered.html   (1100 words)

  
 Mathematician Samuel Eilenberg, 84. Columbia University Record, February 20, 1998
He is best known for his collaborations with other distinguished mathematicians.
With Norman Steenrod in the 1940s, he made sense of a tangled branch of mathematics called homology theory, the study of objects that can be manipulated with algebra.
The Eilenberg-Steenrod Axioms for Homology clarified the subject by setting forth four simple properties that could be used to discern when a possibly exotic homology theory was in fact the same as the usual one.
www.columbia.edu /cu/record/23/15/28.html   (473 words)

  
 Autobiography of Patrick Suppes, p. 2
As an undergraduate I moved too often to be strongly influenced by any one teacher.
I do remember certain impressive individuals, including Richard McKeon at Chicago, who lectured on Aristotle, Norman Steenrod, who taught my first course in calculus, and Professor Tanner at the University of Tulsa, from whom I learned elementary Greek.
I was influenced by Ernest Nagel more than by anyone else and I still relish the memory of the first lecture of his that I attended in 1947.
www.stanford.edu /~psuppes/autobio2.html   (625 words)

  
 Prof. Dr. Samuel Gitler Hammer
After graduating from engineering in 1956, he arrived at Princeton University dreaming about studying algebraic geometry.
His interests, however, moved him rapidly towards algebraic topology and he obtained his PhD in 1960 under the supervision of Norman Steenrod.
After a short period at Brandeis University, Sam was invited in 1961 by José Adem to start the Mathematics Department of the newly created Centro de Investigación y de Estudios Avanzados del IPN.
www.math.cinvestav.mx /~sgitler/html/about_sam.html   (283 words)

  
 On Mathematical Writing   (Site not responding. Last check: 2007-10-09)
Below is a list of books that will help, listed in chronological order.
Steenrod, Norman, How to Write Mathematics, AMS, 1973.
This volume contains four essays by four mathematicians: Norman Steenrod, Paul Halmos, Menahem Schiffer and Jean Dieudonne.
www.math.ucdavis.edu /~jjohnson/writing.html   (259 words)

  
 The Mathematics Genealogy Project - Norman Steenrod
Click here to see the students ordered by last name.
According to our current on-line database, Norman Steenrod has 14 students and 1253 descendants.
If you have additional information or corrections regarding this mathematician, please use the update form.
genealogy.math.ndsu.nodak.edu /html/id.phtml?id=7811&fChrono=1   (66 words)

  
 In memory of Jerry Levine   (Site not responding. Last check: 2007-10-09)
Jerry had a profound influence on the subject of topology, and most particularly on the subject of knot theory.
He received his Ph.D. under the direction of Norman Steenrod at Princeton University, in 1962, and began his career as an instructor at MIT.
There Jerry began his long stream of results in higher dimensional knot theory that profoundly redefined the subject.
www.math.brandeis.edu /levinememorial.html   (291 words)

  
 Spanier (print-only)   (Site not responding. Last check: 2007-10-09)
Spanier's doctoral supervisor was Norman Steenrod and under his supervision Spanier wrote a thesis on algebraic topology for which he was awarded his doctorate in 1947.
The following year Spanier spent as a research fellow at the Institute for Advanced Study at Princeton.
In fact his final publication returned to the topic of his first, namely the axioms which Eilenberg and Steenrod proposed for homology theory.
www-history.mcs.st-and.ac.uk /Printonly/Spanier.html   (614 words)

  
 55: Algebraic topology
For example, the singular cohomology rings can be further given the structure of an algebra over a key, and complicated, ring known as the Steenrod algebra.
Homology groups are particularly well suited to computation via some inductive procedure: if a space is somehow pieced together from simpler spaces (as unions, say, or fibrations) then the homology theories of the large space reflect those of the smaller spaces, together with some algebraic information which indicates the nature of the piecing-together.
Action of the Steenrod algebra on polynomial rings
www.math.niu.edu /Papers/Rusin/known-math/index/55-XX.html   (2581 words)

  
 MATHEMATICAL ANCESTORS MICHAEL HOFFMAN   (Site not responding. Last check: 2007-10-09)
William E. Story begat Solomon Lefschetz (Clark, 1911, On the Existence of Loci with Given Singularities)
Solomon Lefschetz begat Norman E. Steenrod (Princeton, 1936, Universal Homology Groups)
Norman E. Steenrod begat Franklin P. Peterson (Princeton, 1955, Generalized Cohomotopy Groups)
www.usna.edu /Users/math/meh/geneol.html   (146 words)

  
 Publisher description for Library of Congress control number 99017187   (Site not responding. Last check: 2007-10-09)
Publisher description for Library of Congress control number 99017187
Publisher description for The topology of fibre bundles / by Norman E. Steenrod.
Bibliographic record and links to related information available from the Library of Congress catalog
www.loc.gov /catdir/description/prin021/99017187.html   (150 words)

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