MATH 7512: Topology II Homework

MATH 7512   Topology II

Spring 2009

Homework Problems

Problems #1, 3, 7, 9, 11, Hatcher page 228
Distinguish CP3 and S2 x S4
Show that the two definitions of the Hopf invariant given in class are equivalent
Problem #1, Hatcher page 428
Due Thursday, May 7
Start looking at problems #1, 3, 7, 9, Hatcher page 228
Problems #6, 8a, 8c, 9, Hatcher page 204 due Monday, April 20
Start looking at problems #2, 5, 6, 8, 9, Hatcher page 204
Problems #3, 20, 21, 31, Hatcher page 155 due Monday, March 30
Start looking at problems #1 - 8, Hatcher page 155
Problems #29, 30 (just the second one), 31, Hatcher page 133 due Monday, March 16
Problems #16, 17, 20, Hatcher page 132
Compute H*(CT,CT-x), where T is the 2-dimensional torus, CT is the cone on T, and x is the cone point.
due Monday, March 2
Problems #11 - 13, Hatcher page 132 due Friday, February 6 (or Monday, February 9)
Show that a Δ-complex is a CW-complex. due Wednesday, January 28
Problem #5, Hatcher page 131 due Wednesday, January 28
Exhibit a Δ-complex structure on a surface of genus two, and use it to compute the simplicial homology.   due Wednesday, January 28
Problems #1, 4, 8, Hatcher page 131 not due


Dan Cohen   Spring 2009
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