Explore the sectional category of maps between finite T_0 spaces (posets) from a combinatorial perspective in this 47-minute lecture. Delve into the computation of sectional category examples, focusing on the McCord map, weak homotopy equivalence on barycentric subdivision, and Fadell-Neuwirth fibration associated with finite spaces. Gain insights into applied algebraic topology as presented by Kohei Tanaka for the Applied Algebraic Topology Network.
Kohei Tanaka - Sectional Category for Maps of Finite Spaces
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Kohei Tanaka (10/20/22): Sectional category for maps of finite spaces
Taught by
Applied Algebraic Topology Network
Related Courses
-
On the Deleted Squares of Lens Spaces
-
Homotopy and Singular Homology Groups of Finite Digraphs
-
Topological Complexity Using Arbitrary Covers
-
Topological and Combinatorial Models of Directed Path Spaces
-
Residues and Trace Maps in Grothendieck Duality - Lecture 4
-
Persistent Homotopy Groups of Metric Spaces
