robert ghrist

applied topology

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

**ELEMENTARY APPLIED TOPOLOGY TEXT DRAFT** (in progress; revised 6/2014)

the following are rough draft versions of a text-to-be on applied algebraic topology, all in pdf. enjoy! the bibliographic entries are not yet added, and some of the cross-references and pictures are muddled...sorry!

- 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

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

**APPLIED TOPOLOGY NOTES**

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