Abstract
For simplicial homology we supposed that our space had already been expressed as a simplicial complex, i.e., decomposed into a union of simplices. Some spaces cannot be expressed in such a way, and even those that can, can usually be expressed as a simplicial complex in many different ways. Choosing one way can obscure some details of the space. For these reasons “singular” homology was developed, which gets around this problem by, in a very loose sense, considering all possible simplicial decompositions.
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© 2010 Springer-Verlag London Limited
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Crossley, M.D. (2010). Singular Homology. In: Essential Topology. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/1-84628-194-6_10
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DOI: https://doi.org/10.1007/1-84628-194-6_10
Publisher Name: Springer, London
Print ISBN: 978-1-85233-782-7
Online ISBN: 978-1-84628-194-5
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