Basic Homotopy Theory by Samik Basu
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore the foundations of homotopy theory in this comprehensive lecture from the "Dualities in Topology and Algebra" online program. Delve into key concepts such as homotopy of maps, CW complexes, homotopy equivalence, fibrations, mapping cylinders, weak equivalence, and the Barratt sequence. Learn how these fundamental ideas contribute to understanding duality phenomena in topology and algebra, and gain insights into their applications in various mathematical fields. This 56-minute presentation by Samik Basu from the International Centre for Theoretical Sciences provides a solid groundwork for further study in algebraic topology and related areas.
Syllabus
Introduction
Homotopy of Maps
CW Complex
Computations
homotopy equivalence
vibration
vibrations
mapping cylinder
Weak equivalence
Barratt sequence
Taught by
International Centre for Theoretical Sciences
Related Courses
Lie Algebras and Homotopy Theory - Jacob LurieInstitute for Advanced Study via YouTube Univalence from a Computer Science Point-of-View - Dan Licata
Institute for Advanced Study via YouTube Artin Reciprocity via Spheres
Fields Institute via YouTube Star Clusters in Clique Complexes and the Vietoris-Rips Complex of Planar Sets
Applied Algebraic Topology Network via YouTube Invariants for Tame Parametrised Chain Complexes
Applied Algebraic Topology Network via YouTube