© | Dror Bar-Natan: Classes: 2004-05: Math 1300Y - Topology: | (22) |
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Assigned Thursday October 21; due Thursday November 4, 3PM, in class

this document in PDF: HW.pdf

**Required reading. ** Read, reread and rereread
your notes to this point, and make sure that you really,
really really, really really really understand everything in them. Do the
same every week! Also, read all of Munkres chapter 5.

**Solve the following problems. ** In Munkres' book,
pages 241-242: Problems 2, 4, 6, 7 (read about ``totally disconnected'' on
page 152), 9 (for
) and 10 (all are to be submitted).

**Just for fun. ** Compact Hausdorff topologies are
``stable under perturbation'' (and hence natural). Indeed, show that
is a compact Hausdorff topology on a set and
is either bigger
or smaller than
, then
is either not compact or not
Hausdorff.

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Dror Bar-Natan 2004-10-20