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\large{2015 Spring Math 5043 \quad Assignment 5. \qquad Due: April 10, 2015}
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%\large{Name: }
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Do all of 11-21 of Exercises 2.1 in Hatcher (p. 132).

Hand in the following problems: 11, 12, 13, 16, 17, 20, 21

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In addition, do the following problems:

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1. Calculate $H_\bullet (\vee_k S^n)$ for $k, n \geq 1$. You may take $H_\bullet(S^n)$ as known.

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2. Give an example of two topological spaces which have the same homology groups but are not homotopy equivalent.

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