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Question: the klein bottle k is the space obtained from a...

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The Klein bottle K is the space obtained from a square by means of the labelling scheme aba-1b. Figure 74.11 indicates how K can be pictured as an immersed surface in R. (a) Find a presentation for the fundamental group of K (b) Find a double covering map p:T- K, where T is the torus. Describe the induced homomorphism of fundamental groups. Figure 74.11

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