5  Homology with \mathbb{Z}_2 coefficients

“The art of doing mathematics is finding that special case that contains all the germs of generality.”
– David Hilbert

We will talk about some very basics of simplicial homology. For more on these topics, you can refer to any textbook on applied topology/persistent homology, which will meet our immediate needs for this course. For example:

1. Introduction to Persistent Homology, Ziga Virk
2. Computational Topology for Data Analysis, Tamal Dey and Yusu Wang

Those who want to learn more about homology can refer to the following book:

3. Algebraic Topology, Allen Hatcher