Geodesic
Inverse limits of finite topological spaces
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 223-227.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2009.v11.n2.a11
Classification : 55P15, 55U10
Keywords: finite topological space, simplicial complex, weak homotopy equivalence, inverse limit 
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     author = {Emily Clader},
     title = {Inverse limits of finite topological spaces},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a11/}
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Emily Clader. Inverse limits of finite topological spaces. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 223-227. doi : 10.4310/HHA.2009.v11.n2.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a11/

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