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Date: 2-8-2021
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Date: 10-8-2021
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Date: 28-6-2017
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Let and be simplicial complexes, and let be a map. Suppose that whenever the vertices , ..., of span a simplex of , the points , ..., are vertices of a simplex of . Then can be extended to a continuous map such that
implies
The map is then called the linear simplicial map induced by the vertex map (Munkres 1993, p. 12).
REFERENCES:
Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.
Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.
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