Inverse limits of finite topological spaces
Clader, Emily
Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 223-227 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Finite topological space,  simplicial complex,  weak homotopy equivalence,  inverse limit,  55U10,  55P15 
@article{1296138519,
     author = {Clader, Emily},
     title = {Inverse limits of finite topological spaces},
     journal = {Homology Homotopy Appl.},
     volume = {11},
     number = {1},
     year = {2009},
     pages = { 223-227},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1296138519}
}

Clader, Emily. Inverse limits of finite topological spaces. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp.  223-227. http://gdmltest.u-ga.fr/item/1296138519/