Geodesic
Manifold calculus adapted for simplicial complexes
Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 161-186.

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

We develop a generalization of Goodwillie–Weiss manifold calculus to the setting of simplicial complexes. We consider functors from the category of open subsets of a fixed simplicial complex into the category of topological spaces and prove that in many cases such a functor can be approximated by a tower of polynomial functors. Applications include the study of configuration spaces and other complements, spaces of immersions with prescribed singularities or embeddings of singular spaces.
DOI : 10.4310/HHA.2019.v21.n1.a8
Classification : 57R40, 57R42, 57R55
Keywords: calculus of functors, simplicial complex, embedding 
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     author = {Steffen Tillmann},
     title = {Manifold calculus adapted for simplicial complexes},
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     pages = {161--186},
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     number = {1},
     year = {2019},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a8/}
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Steffen Tillmann. Manifold calculus adapted for simplicial complexes. Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 161-186. doi : 10.4310/HHA.2019.v21.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a8/

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