© | Dror Bar-Natan: Classes: 2004-05: Math 1300Y - Topology: | (102) |
Next: Class Home
Previous: Exam Artwork |

This document in PDF: HatcherComments.pdf

No book is perfect, and Hatcher's excellent textbook is no exception. This page will grow to be a list of typos and other mistakes in Hatcher's ``Algebraic Topology'' book. If you find anything, please let me know (electronic means preferred!), and I'll add your report. At the end of the year I plan to send this page to Hatcher.

The format of the entries below is: (page number; date added to this list (d/m/y); credit; report).

- 56; 3/11/04; Dror Bar-Natan; I don't like
Hatcher's treatment of covering spaces. The whole theory of covering
spaces can and should be summarized as a single theorem, roughly saying
that the category of covering spaces of a given base is equivalent
to the category of right -sets. What's a better example of a
totally faithful functor from topology to algebra? Isn't this the holy
grail of algebraic topology (to find such functors)? Why not say that?
See our handout
``Covering Spaces in One
Swoosh''.

The generation of this document was assisted by
L^{A}TEX2`HTML`.

Dror Bar-Natan 2005-01-25