ABSTRACT

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

chapter 1|62 pages

Introduction

chapter 2|64 pages

Cell Complexes and Simplicial Complexes

chapter 3|42 pages

Covering Spaces and Fundamental Group

chapter 4|44 pages

Homology Groups

chapter 5|40 pages

Topology of Manifolds

chapter 6|20 pages

Universal Coefficient Theorem for Homology

chapter 7|30 pages

Cohomology

chapter 8|26 pages

Homology of Manifolds

chapter 9|28 pages

Cohomology of Sheaves

chapter 10|58 pages

Homotopy Theory

chapter 11|30 pages

Homology of Fibre Spaces

chapter 12|18 pages

Characteristic Classes

chapter 13|68 pages

Spectral Sequences