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Homeomorphisms of a map

(See attached file for full problem description with proper symbols)

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Let and a map, given by . Let ~ be the equivalence relation on Xx[0,1] defined by and all other points are equivalent only to themselves. Show that Xx[0,1]/~ is homeomorphic to the Moebius strip.
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Solution Summary

This is a proof regarding homeomorphism and a Moebius strip.

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