Compute the homology groups of the space consisting of a 2-sphere touching a Klein bottle at one

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Compute the homology groups of the space consisting of a 2-sphere touching a Klein bottle at one point.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 10, 2023 07:42 AM

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Compute the homology groups of the space consisting of a 2-sphere touching a Klein bottle at one

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The space X is connected so H 0 X Z The 2sphere contains no 1cycles that are not 1boundaries while the Klein bottle has 1cycles mb for all m Z none of ...View the full answer

A First Course In Abstract Algebra

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