hw6 - Using cut and paste methods, show graphically that...

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Math W4051: Problem Set 6 due Wednesday, October 17 Reading: Munkres, Ch.4 § 36, Ch.12 § 76-78. 1. Munkres, Ch. 4 § 32, exercise 3 on p. 205. 2. Munkres, Ch.12 § 78, exercises 2(b), 2(c),3,4 on p. 476. You can assume Part 2(a) when solving 2(b) and 2(c). 3.
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Unformatted text preview: Using cut and paste methods, show graphically that the Mobius band is homeomorphic to N 1 , 1 , the real projective plane with one hole. Challenge (extra credit): Prove that RP 2 # RP 2 # RP 2 is homeomorphic to RP 2 # T 2 ....
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