Topology
Guide Note:Topology is a branch of mathematics that builds off of geometry and explores the properties of shapes that are distorted by stretching, shrinking, twisting, etc.
Fast Facts:
- From the Greek: Topos meaning shape and Logos meaning study
- Used in almost all branches of mathematics in some way
- Subfields include: point-set topology, algebraic topology, geometric topology
- The Möbius strip and Klein bottle are objects demonstrating properties of topology
The Mahalo Top 7
- Wikipedia: Topology | Topological Space
- Wayne State University: What is Topology?
- Wolfram MathWorld: Topology
- Northern Illinois University: General Topology
- Chez.com: Topology
- Math Forum: The Beginnings of Topology
- University of Sheffield: What is Topology?
Topology News and Articles
- Google News: Topology
- Strange Horizons: "Habitrails and Asteroids: Topology from the Inside" (2001)
- Lehigh University: Essays About Algebraic Topology
Topology History
- University of St. Andrew: A History of Topology
- Math Forum: The Beginnings of Topology
- Clemson University: A Brief History of Topology
Notable Figures in Topology
Wacław Sierpiński
- Science World: Sierpinski, Waclaw (1882-1969)
- Wikipedia: Wacław Sierpiński
- Agnes Scott College: Waclaw Sierpinski (1882-1969)
Leonard Euler
- Trinity College: Leonhard Euler and his Mathematics Resource Page
- Radagast's Third Blog: Leonard Euler and the Bridges of Konigsberg
- Towsun University: Biography of Leonard Euler
Johann Benedict Listing
- Wikipedia: Johann Benedict Listing
- University of St. Andrew: Johann Benedict Listing
Jules Henri Poincaré
- The World of Mathematics: Poincaré, The True Father of Chaos
- Stetson University: Jules Henri Poincaré
- Planet Math: Henri Poincaré
Maurice René Fréchet
- University of St. Andrew: Maurice René Fréchet
- Wikipedia: Maurice René Fréchet | Fréchet Space
- Made How.com: Maurice-René Fréchet Biography (1878-1973)
Felix Christian Klein
- Wikipedia: Felix Klein | Klein Bottle
- University of St. Andrew: Felix Christian Klein
- Klein Bottle.com: What is a Klein Bottle?
Topology Fun Stuff
- Science News for Kids: Weird Bottles
- Klein Bottle.com: Klein Bottles Merchandise
- Questacon: The Handcuffs Puzzle | Topological Paperclips | Möbius Strip
- Wolfram Math World: Pretzel Transformation
Topology Research
- PSG.com: Recent Progress in Topology Research
- University of Sidney: Geometry and Topology Research Reports
Topology Education Resources
- Trinity College, Dublin: Lecture Notes for Course 212 (Topology)
- Massachusetts Institute of Technology : Seminar in Topology, Fall 2005
- Camosun College: R-U-B-B-E-R Geometry (Topology) Topic Links
- Geometry Junkyard: Geometric Topology
- Hands-on Math: Classroom Activities in Topology
Topology Photos and Videos
- Wikimedia Commons: Topology
- University of Illinois: Klein Bottle Images
- 3 Quarks Daily: Turning a Sphere Inside Out (Time: 21:23)
- Daily Motion: Möbius Strip (Time: 02:14)
Topology Blogs and Forums
- The Unapologetic Mathematician: Topology
- Good Math, Bad Math: Wonderful Mobius Transformation Video
- York University: Topology Q+A Board
Topology Organizations and Societies
- Topology Atlas: Conferences Series | Topology Atlas Calendar of Conferences - Upcoming Events
- Nipissing University: Topology Research Group
- Oxford University: Analytic Topology Research Group
- Dmoz.org: Directory of Topology Research Groups
- University of Glasgow: British Topology Home Page
Topology Books and Publications
- Mathematical Science Publishers: Geometry and Topology
- Auburn University: Topology Proceeedings
- Wikibooks: Topology
- York University: Topology Atlas
- The London Mathematical Society: Journal of Topology
- Google Books: Topology Book Search
Topology Theories
- Wikipedia: Knot Theory | Topological Quantum Field Theory
- Northern Illinois University: Algebraic Topology
- National University of Ireland, Maynooth: Topology, Quantum Theory and Relativity
- Cut the Knot: Knots
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