Abstract
Extending a result of McCord, we prove that every finite simplicial complex is homotopy equivalent to the inverse limit of a sequence of finite spaces. In addition to generalizing McCord's theorem, this provides it with a more geometric motivation, demonstrating a sense in which the simplicial complex is successively better approximated by its finite models.
Citation
Emily Clader. "Inverse limits of finite topological spaces." Homology Homotopy Appl. 11 (2) 223 - 227, 2009.
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