x
Menu

Algebraic Topology

The University of New South Wales, , Prof. N J Wildberger

Updated On 02 Feb, 19

Overview

Contents:
Introduction to Algebraic Topology - One-dimensional objects - Homeomorphism and the group structure on a circle - Two-dimensional surfaces: the sphere - More on the sphere - Two-dimensional objects - the torus and genus - Non-orientable surfaces - the Mobius band - The Klein bottle and projective plane - Polyhedra and Euler's formula

Applications of Euler's formula and graphs - More on graphs and Euler's formula - Rational curvature, winding and turning - Duality for polygons and the Fundamental Theorem of Algebra - More applications of winding numbers - rational curvature of a polytope - Rational curvature of polytopes and the Euler number - The geometry of surfaces - The two-holed torus and 3-crosscaps surface - Knots and surfaces I

Includes

Lecture 18: AlgTop21 The two-holed torus and 3-crosscaps surface

4.1 ( 11 )


Lecture Details

Ratings

5.0


1 Ratings
55%
30%
10%
3%
2%
Comments
comment person image

Sam

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Reply
comment person image

Dembe

Great course. Thank you very much.

Reply
Send