1 Homology [edit ]Let P denote the pinched torus. The homology groups of P over the integers can be calculated. They are given by:Ho (P,Z) = Z, H1(P,Z) = Z, and H2(P, Z) = Z.

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Answered: Homology [edit ] Let P denote the…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.5: Isomorphisms

Problem 14E: Consider the additive group of real numbers. Prove or disprove that each of the following mappings...

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Homology [edit ] Let P denote the pinched torus. The homology groups of Pover the integers can be calculated. They are given by: Ho (P, Z) = Z, H1(P,Z) = Z, and H2 (P,Z) = Z.