{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw9 - retraction and say what the answer is 2 Munkres Ch.9...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

{[ snackBarMessage ]}