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Simplicial Homology

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Essential Topology

Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

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Abstract

In Chapter 8, we have seen how to take a topological space and assign to it an algebraic object carrying some information about the topology of the space. However, homotopy groups are very hard to calculate. In this chapter we introduce “homology” groups, which can be thought of as a rough approximation to the homotopy groups of a space. In defining the homotopy groups of a space X, we considered all maps

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Correspondence to Martin D. Crossley .

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© 2010 Springer-Verlag London Limited

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Crossley, M.D. (2010). Simplicial Homology. In: Essential Topology. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/1-84628-194-6_9

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