robert ghrist

applied topology

all notes copyright dr.r.w.ghrist. all rights reserved.

**ELEMENTARY APPLIED TOPOLOGY TEXT DRAFT** (almost done!; revised 9/2014)

the following are preprint versions of a text on applied algebraic topology, all in pdf. enjoy for personal use: do not distribute.

- Title page
- Preface
- Chapter 1: Manifolds
- Chapter 2: Complexes
- Chapter 3: Euler Characteristic
- Chapter 4: Homology
- Chapter 5: Sequences
- Chapter 6: Cohomology
- Chapter 7: Morse Theory
- Chapter 8: Homotopy
- Chapter 9: Sheaves
- Chapter 10: Categorification
- Appendix: Background
- Bibliography
- Index

this book had as precursor a set of hand-drawn lecture notes...

**APPLIED TOPOLOGY NOTES**

- [2010] “Applied Algebraic Topology & Sensor Networks” - caveat! file>50megs!