(These links are just a visualisation of the talk I gave at the conference)

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A Brief History of Topology

a surf by
Artur Gorka
Clemson University

A joint SIAM and MAA Regional Meeting
March 21-22, 2003
Clemson, SC

"A Topologist is a person
who cannot tell a coffee cup
from a doughnut..."

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Contents

(The links open in a new window. You may wish to have both windows open side by side.
Follow the links to get a story I wanted to tell. Enjoy!)

Introduction
Euler , Bridges of Koenigsberg and polyhedron invariants and more...
Cantor , open sets , closed sets , Point-Set Topology and normed spaces
Poincare and Fundamental Group and Rotations in 3-D
Surfces , Moebius Strip , Klein's Bottle and Torus and Klein Bottle games
Brouwer and his celebrated Fixed Point Theorem and some Examples
Scottish_Cafe in Lvov and Banach Spaces , Banach - Tarski Theorem
Borsuk - Ulam - Theorem and its implications Antipodal Thm , International Date Line and a cool pic
Ham - Sandwich - Theorem, Hairy Ball - Theorem
Space & Topology , Curvature of the Universe and the beauty of the Outer Space... ,

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References/Resources

I tried to acknowledge here all the resources that I used for the presentation. If I omitted any - that happened unintentionally - so please let me know and I will be very happy to add any missing links. Thank you.

Bibliography:

1. "History of Topology" edited by I.M. James., Elsevier Science B.V., Amsterdam, New York, 1999.
   
2. "The Scottish book: mathematical problems from the Scottish Cafe", edited by R. D. Mauldin., Birkhauser, Boston 1981.
   
3. "Intuitive Concepts in Elementary Topology." Arnold, B. H., Prentice-Hall, Englewood Cliffs, N.J., 1962.
   
4. "Visual Topology", Lietzmann W., (translated from the German by M. Bruckheimer), American Elsevier Pub. Co., New York, 1968
   
5. "Basic Topology", Armstrong, M. A., Springer-Verlag, New York, c1983.
   
6. "General Topology", Sierpinski W. (translated from Polish by C. Krieger), Dover Publications, Inc., Mineola, New York, 2000.
   
7. "Introduction to Topology", T.W. Gamelin, R.E.Greene, Dover Publications, Inc., Mineola, New York, 1999.
   
8. "The Beginning of Polish Topology", K. Ciesielski, Z.Pogoda, The Mathematical Intelligencer, Vol.18, No.3, 1996.
   

Web Sites

General Topology Info:

Mathematicians' Biographies

General Math Sites with links to topology

Particular Topology Topics

Personal pages: