Morse Theory on Finite Spaces

  1. Mosquera Lois, David
Supervised by:
  1. Enrique Macías-Virgós Director
  2. José Antonio Vilches Alarcón Director

Defence university: Universidade de Santiago de Compostela

Fecha de defensa: 04 February 2022

Committee:
  1. Aniceto Murillo Mas Chair
  2. Antonio Gómez Tato Secretary
  3. Nicholas Z. Scoville Committee member

Type: Thesis

Abstract

Morse Theory and related invariants are studied in the contexts of finite topological spaces, partially ordered sets, chain complexes, cell complexes and small categories.