## Introduction to simplicial homology

### (Work in progress)

The following document aims to give an introduction to simplicial
homology. I discuss the basics of some of the most important
techniques for computing homology, including collapses, discrete
Morse theory, and long exact sequences.
The various techniques are illustrated with worked-out examples.
The text does not cover homotopy theory or cohomology theory.

The document in PDF format

Chapter 0: Algebraic preliminaries

Chapter 1: Simplicial homology

Chapter 2: Combinatorial techniques

Chapter 3: Algebraic techniques