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Computing Homology of Maps

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Computational Homology

Part of the book series: Applied Mathematical Sciences ((AMS,volume 157))

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Abstract

In Chapter 6 we have provided a theoretical construction for producing a homology map f*: H*(X) → H*(Y) given an arbitrary continuous function f: X → Y between cubical sets X ⊂ Rd and Y ⊂ Rd’. In this chapter we provide algorithms that allow us to use the computer to obtain f*.

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© 2004 Springer-Verlag New York, Inc.

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Kaczynski, T., Mischaikow, K., Mrozek, M. (2004). Computing Homology of Maps. In: Computational Homology. Applied Mathematical Sciences, vol 157. Springer, New York, NY. https://doi.org/10.1007/0-387-21597-2_7

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  • DOI: https://doi.org/10.1007/0-387-21597-2_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2354-7

  • Online ISBN: 978-0-387-21597-6

  • eBook Packages: Springer Book Archive

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