Here is a good book to look at: "Topology" second edition, by James R. Munkres.

Homework 1, due Monday September 13th 2004:
1.1.2 c, d, which are open in the plane, which are open in A?; 1.2.1; 1.9.9; 1.2.4 part a; show that, in a Hausdorff space, a point is closed; 1.2.6 part a only; 1.9.1; 1.9.4 (use 1.9.3); 1.2.12 part b and c; 1.9.11; 1.9.12 part a and c; 1.9.15 part b; 1.2.13 part b; 1.9.22; 1.9.35; 1.9.31; 1.9.38.

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Homework 2, due October 1st 2004:
1.4.2; 1.9.19; 1.9.39; 1.9.40; (page 171 #2b); show that if A is compact in a metric space X, then d(x, A)=d(x, a) for some a in A;

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Homework 3, due Friday October 15th 2004:
Homework 3

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Homework 4, due Wednesday October 20th 2004:

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Homework 5, due Friday November 5th 2004:
Homework 5

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Homework 6, due Friday November 19th 2004:
Homework 6

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