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Structural Theory of Morphism Complexes

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Combinatorial Algebraic Topology

Part of the book series: Algorithms and Computation in Mathematics ((AACIM,volume 21))

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In this section we would like to prove a property that holds for general morphism complexes, which were described in Definition 9.24. A crucial fact about this family of prodsimplicial complexes is that Hom _(-, -) complexes are fully determined by the low-dimensional data; in fact, it turns out that already knowing the 1-skeleton suffices; cf. Definition 9.16.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Structural Theory of Morphism Complexes. In: Combinatorial Algebraic Topology. Algorithms and Computation in Mathematics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71962-5_18

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