hw9 - retraction, and say what the answer is. 2. Munkres,...

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Math W4051: Problem Set 9 due Wednesday, November 21 1. Munkres, Ch.9 § 58, exercise 2 on p. 366. For each of the spaces in (a), (c), (d), (f), (g), (h), (i), you need to write down explicitly the formula for a deformation retraction (or some other form of homotopy equivalence) from the respective space to a point, S 1 , or the figure eight. For the spaces in (b), (e), (j), (k), (l), it suffices to draw a picture of the deformation
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Unformatted text preview: retraction, and say what the answer is. 2. Munkres, Ch.9 59, exercise 2 on p. 370. 3. Let f : S 1 S 1 be a continuous map of nonzero degree. Show that f is surjective. Remark: The notion of degree (introduced in class) appears in the book in exercise 9 from 58. I encourage you to look at that exercise, but you do not need to hand it in....
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This note was uploaded on 02/10/2010 for the course MATH 205 taught by Professor Smith during the Spring '05 term at Adrian College.

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