Errata for Topological Signal Processing

This page lists errors and corrections for Topological Signal Processing, by Michael Robinson. If you find any errors in the book, please let me know by sending an email to michaelr (at) american (dot) edu. Thanks!

Front matter

Chapter 1: Introduction

Chapter 2: Parametrization

Chapter 3: Signals

To spare the reader from excessive verbage, I use the term sheaf to refer to what is usually called a conjunctive cellular presheaf. Because this may cause some confusion, here is a short justification of my choice of terminology. Specifically, a presheaf is a contravariant functor from the category of open sets. A conjunctive presheaf requires that consistent sections can be assembled into sections over larger sets. The usual definition of a sheaf requires that this assembly be unique (for instance Wikipedia). However, signal processing applications often require that consistent sections could be assembled in multiple ways, so the traditional definition of a sheaf is limiting at best.

Chapter 4: Detection

Chapter 5: Transforms

Chapter 6: Noise

Appendix A: Topological spaces

Appendix B: Topological groups