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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

Having defined polyhedron, complex, and orientation for complexes in the preceding chapter, we are now ready for the precise definition of the homology groups. Intuitively speaking, the homology groups of a complex describe the arrangement of the simplexes in the complex thereby telling us about the “holes” in the associated polyhedron.

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© 1978 Springer-Verlag, New York Inc.

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Croom, F.H. (1978). Simplicial Homology Groups. In: Basic Concepts of Algebraic Topology. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9475-4_2

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  • DOI: https://doi.org/10.1007/978-1-4684-9475-4_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90288-3

  • Online ISBN: 978-1-4684-9475-4

  • eBook Packages: Springer Book Archive

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