Math 872 - Section 1 - Spring 2008 - Problem sets page
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Most recent sizable change (text, html) : 2008-04-18 07:43
Most recent change (text, html) : 2008-04-18 07:43
Last checked for changes: 2008-09-20 17:49
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View changes:
2008-04-18 07:43
69 new words, 1 deleted words, 2% change
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... rel Y . (Hint: You may use the result of Munkres Exercise 46.9 p. 289: If q:Z -> W is a quotient map and i:J -> J is the identity map for a locally compact Hausdorff space, then q x i:Z x J -> W x J is also a quotient map.) (1.C. ... (X). (Hint: Use four prisms.) (8.A. ... last updated 4/1017/08.
rel Y . (Hint: You may use the result of Munkres Exercise 46.9 p. 289: If q:Z -> W is a quotient map and i:J -> J is the identity map for a locally compact Hausdorff space, then q x i:Z x J -> W x J is also a quotient map.) (1.C. ... (X). (Hint: Use four prisms.) (8.A. ... last updated 4/17/08.
rel Y . (... last updated 4/10/08.
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View changes:
2008-04-11 07:43
182 new words, 3 deleted words, 5% change
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... 131 # 1. (*(7.D. ... 8.A.1,2,31,*2,3) Hatcher p. 132 # 11, *12, 13 ( ... . 131 # 29 (8.B.1) Hatcher p. 157 # 28(a) (8.B.2) Let X be a path-connected compact Hausdorff space. *(a) The cone on X is the quotient CX of the space X x ... and (p,1) equivalent to (q,1) for all p,q in X. Show that the reduced homology groups satisfy \tilde H i (SX) = \tilde H i-1 (X) for all i. Page written by S ... last updated 4/...
131 # 1. *(7.D. ... 8.A.1,*2,3) Hatcher p. 132 # 11, *12, 13 ( ... . 131 # 29 (8.B.1) Hatcher p. 157 # 28(a) (8.B.2) Let X be a path-connected compact Hausdorff space. *(a) The cone on X is the quotient CX of the space X x ... and (p,1) equivalent to (q,1) for all p,q in X. Show that the reduced homology groups satisfy \tilde H i (SX) = \tilde H i-1 (X) for all i. Page written by S ... last updated 4/...
131 # 1. (7.D. ... 8.A.1,2,3) Hatcher p. 132 # 11, ... last updated 4/8/08.
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View changes:
2008-04-09 07:43
175 new words, 2 deleted words, 5% change
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... finitely generated group.) Problem set 5, due 4/17/08: (7.B.1) Hatcher p. 131 # 1. (7.D.1) Hatcher p. 131 # 4 (7.D.2) Let X be the standard 3-simplex Δ 3 with the "standard" ... 5.C.3. Describe a Δ-complex structure for X, and compute H simpl 3 (X) and H simpl 4 (X). (8.A.1,2,3) Hatcher p. 132 # 11, 12, 13 (8.A.4) Hatcher p. 131 # 29 Page written by S ... Hermiller; last updated 34...
finitely generated group.) Problem set 5, due 4/17/08: (7.B.1) Hatcher p. 131 # 1. (7.D.1) Hatcher p. 131 # 4 (7.D.2) Let X be the standard 3-simplex Δ 3 with the "standard" ... 5.C.3. Describe a Δ-complex structure for X, and compute H simpl 3 (X) and H simpl 4 (X). (8.A.1,2,3) Hatcher p. 132 # 11, 12, 13 (8.A.4) Hatcher p. 131 # 29 Page written by S ... Hermiller; last updated 4/8/08.
finitely generated group.) ... Hermiller; last updated 3/13/08.
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View changes:
2008-03-13 07:44
280 new words, 2 deleted words, 9% change
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... / /08: (*(6.B. ... in this proof? (6.B.2) Hatcher p. 79 # 9 (6.B.3) Show, using covering spaces, that the fundamental group of the Klein bottle is not abelian. *(6.C.1) Let Y be ... (6.D.2) Hatcher p. 82 # 31 (6.D.3) Hatcher p. 87 # 8 (Alternate hint: Ignore Hatcher's hint, and instead consider coverings of the presentation complex for the finitely generated group.) Page written by S ... last updated 3/...
/ /08: *(6.B. ... in this proof? (6.B.2) Hatcher p. 79 # 9 (6.B.3) Show, using covering spaces, that the fundamental group of the Klein bottle is not abelian. *(6.C.1) Let Y be ... (6.D.2) Hatcher p. 82 # 31 (6.D.3) Hatcher p. 87 # 8 (Alternate hint: Ignore Hatcher's hint, and instead consider coverings of the presentation complex for the finitely generated group.) Page written by S ... last updated 3/...
/ /08: (6.B. ... last updated 3/6/08.
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