More Applications of Winding Numbers - Algebraic Topology - NJ Wildberger
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
Explore the applications of winding numbers in algebraic topology in this 27-minute lecture from the Insights into Mathematics series. Define the degree of a function from the circle to the circle and use this concept to demonstrate that there is no retraction from the disk to the circle. Delve into the Brouwer fixed point theorem and examine a Lemma of Borsuk. Learn about continuous maps, their definitions, and the concept of antipodes as part of this beginner's course in algebraic topology, presented by Associate Professor N J Wildberger at UNSW.
Syllabus
Introduction
Continuous maps
Defining continuous maps
Brauer fixed point theorem
Antipodes
Taught by
Insights into Mathematics
Related Courses
Introduction to Algebraic Topology (Part-I)Indian Institute of Technology Bombay via Swayam Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Dr Trefor Bazett via YouTube Neural Sense Relations and Consciousness - A Diagrammatic Approach
Models of Consciousness Conferences via YouTube Classification of 2-Manifolds and Euler Characteristic - Differential Geometry
Insights into Mathematics via YouTube