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Assigned Thursday October 7; due Thursday October 21, 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 3.

**Solve the following problems. ** (But submit
only the underlined ones). In Munkres' book, problems __6__, 7 on page 152,
problems __1__, 2, 3, 8, __10__ on pages 157-158 and problems __1__, __4__,
__5__, 7, 8 on pages 170-171.

**Just for fun. **

- Can you find a connected subset of which is pathwise totally disconnected (i.e., there is no that can be connected via a continuous path)?
- Without referring to the famed ``Tychonoff Theorem'', prove that is compact in the product topology. (Is it compact in the box topology?)

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Dror Bar-Natan 2004-10-06