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Topic: Topologist

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	NationMaster - Encyclopedia: Topologist's sine curve
		In the branch of mathematics known as topology, the topologist's sine curve is an example that has several interesting properties.
		It is closed, but has similar properties to the topologist's sine curve -- it too is connected but not locally connected or path-connected.
		This is a crude plot of the Topologist's sine curve.
	www.nationmaster.com /encyclopedia/Topologist%27s-sine-curve (621 words)

	Topologist's sine curve - Wikipedia, the free encyclopedia
		In the branch of mathematics known as topology, the topologist's sine curve is a topological space with several interesting properties that make it an important textbook example.
		The topologist's sine curve can be defined as the graph of the function sin(1/x) over the interval (0, 1] extended by the single point (0,0).
		The topologist's sine curve T is connected but neither locally connected nor path connected.
	en.wikipedia.org /wiki/Topologist's_sine_curve (306 words)

	Mathematician's insight helps unravel knotty problem
		In knot theory, topologists are concerned with the spatial arrangements of unbroken lines that are folded in knots — not unlike a tangled kite string or fishing line.
		It is known that enzymes dubbed topoisomerases have the job of unknotting those clumps, and topologists have been collaborating with cancer researchers in recent years to attempt to find novel cancer treatments that capitalize on that.
		Topologists are keen to find ways to prove that two shapes, which may look very different, are truly inequivalent.
	www.eurekalert.org /pub_releases/2005-12/ru-mih120505.php (802 words)

	Topology - Wikipedia, the free encyclopedia
		It has often been said that a topologist is a person who cannot tell a donut from a coffee cup with a handle (because both are solids with a single hole).
		Topology has sometimes been called rubber-sheet geometry, because it does not distinguish between a circle and a square (a circle made out of a rubber band can be stretched into a square) but does distinguish between a circle and a figure eight (you cannot stretch a figure eight into a circle without tearing).
		The traditional joke is that the topologist can't tell the coffee cup she is drinking out of from the donut she is eating, since a sufficiently pliable donut could be reshaped to the form of a coffee cup by creating a dimple and progressively enlarging it, while shrinking the hole into a handle.
	en.wikipedia.org /wiki/Topology (1548 words)

	NM Jokes Math 4 (Site not responding. Last check: 2007-10-05)
		A topologist is a man who doesn't know the difference between a coffee cup and a doughnut.
		Quite often it is not important, for all practical topologist's purposes, whether you have a cup or a doughnut.
		For example, if you study holes (a very respectable topic in topology), you put a cup and a doughnut (or torus, as such objects are called in topology) into the same class of Objects with One Hole.
	www.naturalmath.com /jokes/joke4.html (161 words)

	Discover: When happens when hubris meets nemesis - topology, includes related article (Site not responding. Last check: 2007-10-05)
		Topologists are concerned with those properties of objects and spaces that transcend mere geometry.
		To the topologist, a sphere, for instance, can be stretched, compressed, or warped in any number of ways and still remain a sphere, so long as it isn't ripped or torn.
		Both are examples of what they call a torus: a topologist can deform the former into the latter simply by shrinking the depression in the cup and the size of the cup itself, while enlarging the handle.
	www.findarticles.com /p/articles/mi_m1511/is_v8/ai_4995863 (1434 words)

	Elementary Brain Teaser Contest
		A topologist allows you to bend, stretch, or shrink a figure as long as you do not tear it or poke holes in it..
		When you change things under these rules, you can form any new figure you want and the topologist would say that the new one and the original one are the same.
		To the topologist, Q and P are the same thing.
	pegasus.cc.ucf.edu /~mathed/letters.html (187 words)

	Monty Harper Song Lyrics - Topologically Speaking
		Your donut is the same as the coffee cup you dunk it in each day.
		A topologist can make a t-shirt with a piece of paper and a three-hole punch.
		Topolocical spaces are the places where topologists live.
	www.montyharper.com /Songs/TS.html (226 words)

	KNOTS, SUPERSTRINGS AND OTHER COSMIC STUFF
		It is this essential difference which distinguishes them as knots, and a topologist would certainly perceive that a pretzel was different from a ring- doughnut.
		To a topologist who practises magic there is a very significant difference, not only between a Unicursal Hexagram and a 'Star of David' Hexagram, but also between a six-pointed star drawn by superimposing two triangles and one formed by interlocking the triangles.
		A topologist would be much more concerned about these differences than by the orientation of the finished figure.
	freespace.virgin.net /ecliptica.ww/book/knots.htm (3394 words)

	Re: The Quest For the Wholy Topologist?:)
		Re: The Quest For the Wholy Topologist?:) -- sol 12/04/02 (
		Re: The Quest For the Wholy Topologist?:) -- sol 12/08/02 (
		Re: The Quest For the Wholy Topologist?:) -- sol 12/09/02 (
	superstringtheory.com /forum/geomboard/messages3/35.html (216 words)

	R. L. Moore - racist mathematician unveiled
		Bing was (a famous Topologist, and a) student of Moore.
		He was a topologist of world-renowned stature and Texas desperately wanted to attract him back from Wisconsin.
		Scott Williams, Topologist: I know and have had excellent relations with many ex-students of Moore such as Ben Fitzpatrick, and one ex-Moore student, Mary Ellen Rudin, has been extremely helpful to my career.
	www.math.buffalo.edu /mad/special/RLMoore-racist-math.html (839 words)

	Abstract for PFF talk by Ivonne Ortiz (Site not responding. Last check: 2007-10-05)
		Did you know that for a topologist there is no difference between a cup of coffee and a donut?
		In this talk, I would like to address this question and give you a feeling for what a topologist does.
		She received her B.A. in Mathematics in Colombia in 1996 and her M.A. from Binghamton in 1998, where she is a Fellow in the Preparing Future Faculty Program in the Department of Mathematical Sciences.
	www.math.binghamton.edu /pff/Abstracts/ortiz.html (131 words)

	The Quest For the Wholy Topologist?:)
		Re: The Quest For the Wholy Topologist?:) -- dr_syed_ameen2000 1/07/03 (
		Re: The Quest For the Wholy Topologist?:) -- sol 1/07/03 (
		Re: The Quest For the Wholy Topologist?:) -- qubit 12/04/02 (
	superstringtheory.com /forum/geomboard/messages3/33.html (247 words)

	Science Jokes:1. MATHEMATICS : 1.12 TOPOLOGY
		A topologist is a man who doesn't know the difference between a coffee up and a doughnut.
		Instead, the student replied: "A topologist is someone who can't tell the difference between his ass and a hole in the ground, but who can tell the difference between his ass and _two_ holes in the ground."
		She walks into the bar, and the bartender, who does not recognize her since she is now a different manifold, serves her a drink.
	www.xs4all.nl /~jcdverha/scijokes/1_12.html (2968 words)

	The Harvard Crimson :: News :: Top Topologist Joins Harvard
		Hopkins has been integral to making those connections.
		Whereas homotopy theory was once practiced exclusively by topologists, Harris said Hopkins’ many collaborations have “really opened up the field.”
		Harris praised Hopkins for his interaction with professors from other mathematical fields.
	www.thecrimson.com /article.aspx?ref=507626 (569 words)

	1
		The Alexander polynomial was remarkable for how successful it was in distinguishing the knots in Tait's orginal table and it gave witness to how thorough a researcher Tait was.
		If a lawyer can do research in knot theory, it can't be that hard.) Unforunately, there are many knots with equivalent Alexander polynomial that can be shown to be isotopically different through the uses of other invariants.
		In particular, to a topologist there is no difference between the loops representing 4_1 and 5_1.
	www.math.buffalo.edu /~menasco/Knottheory.html (1176 words)

	Humor (Site not responding. Last check: 2007-10-05)
		A topologist walks into a bar accompanied by a dog and a cow.
		The bartender raises his eyebrows and says, "I've met a number of knot theorists, but never an animal that was a knot theorist."
		At this point the bartender turns to the topologist, says, "Just what are you trying to pull" and throws them out of the bar.
	www.math.psu.edu /matsnev/personal/humor (467 words)

	Skyline Owners Forum - And So It Begins..........
		A topologist is a person who doesn't know the difference between a coffee cup and a doughnut.
		Well the next thing was the intercooler and there couldnt have been a nicer Saturday for it.
		Had to cut the bumper by an inch and a half at the back to accomodate the intercooler and no loss of the strengthening bars across the front of the car which was my main project on this one.
	www.skylineowners.com /forum/showthread.php?t=486 (729 words)

	Internet Time Blog: Context Driven Topologies
		The aim is long-term digital preservation by redefining the relationship between historical comprehension, human dynamics, the pace which new ideas emerge and change other ideas around them - and a new way to describe this process to advanced networks of machines.
		Lou Kauffman, a knot theory topologist and project participant explains it as this “For me, the key concept is that of the "pivot".
		An image in one field can trigger a patterned response in another field due to matching structures at some level of discourse.
	www.internettime.com /blog/archives/001305.html (312 words)

	Re: The Quest For the Wholy Topologist?:) (Site not responding. Last check: 2007-10-05)
		In Reply to: Re: The Quest For the Wholy Topologist?:) posted by dr_syed_ameen2000 on January 07, 2003 at 12:55:58:
		The coffee cup and the donut have become one.
		I assume it all became one to the topologist (or he had already drank it), and why I refer to it as being wholy.
	www.superstringtheory.com /forum/geomboard/messages3/54.html (133 words)

	Re: The Quest For the Wholy Topologist?:)
		In Reply to: Re: The Quest For the Wholy Topologist?:) posted by DickT on December 09, 2002 at 06:41:03:
		Re: The Quest For the Wholy Topologist?:) -- DickT 12/09/02 (
		Re: The Quest For the Wholy Topologist?:) -- sol 12/09/02 (
	www.superstringtheory.com /forum/geomboard/messages3/41.html (442 words)

	[No title]
		> Yeah, well I was not educated as a topologist.
		that an important part of a topologist's education is learning what is obvious
		something was not obvious and be very annoyed when a topologist would just
	www.mathforum.org /kb/plaintext.jspa?messageID=347300 (564 words)

	Topology Q+A Board
		Ask A Topologist: 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997
		Welcome to the Topology Q+A Board (formerly known as "Ask a Topologist").
		We invite elementary or advanced questions in topology or related areas of topology, geometry, analysis and algebra.
	at.yorku.ca /cgi-bin/bbqa (235 words)

	[No title] (Site not responding. Last check: 2007-10-05)
		M__________________________________________________________________________ A topologist is a man who doesn't know the difference between a coffee up and a doughnut.
		However, the bartender thinks she looks familiar, or at least locally similar, and asks, "Aren't you that topologist that just came in here?" To which she responds, "No, I'm a frayed knot." M__________________________________________________________________________ There are three kinds of people in the world; those who can count and those who can't.
		And the related: There are two groups of people in the world; those who believe that the world can be divided into two groups of people, and those who don't.
	insti.physics.sunysb.edu /~hnastase/HUMOR2.TXT (9399 words)

	Colin Rourke's WWW Homepage
		I'm a topologist, in other words I am interested in fundamental properties of spaces, though recently my interests have spread to include group theory and singularity theory.
		The master copy is in pub/Preprints/Rob_Kirby/Problems in the anonymous ftp directory at math.berkeley.edu and can also be obtained from Rob Kirby's WWW homepage.
		This copy is placed here as a public service for UK topologists because of the difficulty of transferring a file of this size from the US (except at highly unsocial hours).
	www.maths.warwick.ac.uk /~cpr (1999 words)

	[No title]
		(There's another topologist A.H. Stone: "metrizable implies paracompact") Sturm is Jacques Charles-Francois (worked with Liouville), not geometer Rudolf nor Johannes Sturm, 1507-1589; Jacques is author of Sturm sequences for solvability of polynomials.
		Taylor is of course the 18th century Brook Taylor ("Taylor series"), not Geoffrey (20th century fluids dynamicist) E.R. vanKampen is a topologist; N.G. vanKampen a mathematical physicist There are (at least) two Vekuas working near area 30G; I don't know which is referred to.
		Watson (Galton's coauthor) is Henry, not George (complex variables) Whitehead is not philospher Alfred North, but rather a topologist.
	www.math.niu.edu /~rusin/known-math/98/MSC.names (10614 words)

	David's Website \| The Canonical List of Math Jokes (Site not responding. Last check: 2007-10-05)
		From: david_gonda@qm.yale.edu A student was doing miserably on his oral final exam in General Toplogy (yes, this guy _really_ did give oral finals in topology).
		Instead, the student replied: "A topologist is someone who can't tell the difference between his ass and a hole in the ground, but who can tell the difference between his ass and _two_ holes in the ground." The student passed.
		Definitions of Terms Commonly Used in Higher Math The following is a guide to the weary student of mathematics who is often confronted with terms which are commonly used but rarely defined.
	userpages.umbc.edu /~dni1/humor/lists/mathsci/math10.shtml (8064 words)

	Harvard Gazette: Michael Hopkins, algebraic topologist
		FAS Dean Kirby said of Hopkins (above), 'He is not only the world leader in algebraic topology, but also an energetic and outgoing colleague.' (Staff photo Peter DiCampo/Harvard News Office)
		Michael J. Hopkins, whose work linking algebraic topology to other branches of mathematics and physics has earned him a reputation as the world's pre-eminent algebraic topologist, has been appointed professor of mathematics in Harvard University's Faculty of Arts and Sciences, effective July 1.
		Hopkins, 47, comes to Harvard from the Massachusetts Institute of Technology (M.I.T.), where he has been on the mathematics faculty since 1989.
	www.news.harvard.edu /gazette/2005/04.28/03-hopkins.html (564 words)

	Bookmarklets - About Steve
		In 1992, I received a Ph.D in mathematics from the University of Oregon and began a career as a research mathematician (I was a low-dimensional topologist).
		It was rewarding work, but I felt that I could only reach a small audience through it.
		If you want a totally useless address, you could send one to kajlkdsjflksjflkjf@alkdjflkjkaj.com.
	www.bookmarklets.com /about/stevek.html (295 words)

	BrainTalk Communities - It made me feel so good -- (Site not responding. Last check: 2007-10-05)
		In the beginning we lived with a topologist (he said topology was the study of what's a knot and what's not a knot...
		The topologist who had suffered from depression before I had arrived, all smiling and happy, was unable to cope with me crying so much, so we began to break up.
		Second, if I'd known about B12, I could have told the topologist to get some sublingual B12 and we'd probably be together today.
	brain.hastypastry.net /forums/showthread.php?t=56320 (653 words)

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