Geodesic
Occupants in simplicial complexes
Tillmann, Steffen1
1 Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany
Algebraic and Geometric Topology, Tome 19 (2019) no. 3, pp. 1265-1298

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Let M be a smooth manifold and K ⊂ M be a simplicial complex of codimension at least 3. Functor calculus methods lead to a homotopical formula of M ∖ K in terms of spaces M ∖ T where T is a finite subset of K. This is a generalization of the author’s previous work with Michael Weiss (Contemp. Math. 682, Amer. Math. Soc., Providence, RI (2017) 237–259), where the subset K is assumed to be a smooth submanifold of M and uses his generalization of manifold calculus adapted for simplicial complexes.

DOI : 10.2140/agt.2019.19.1265
Classification : 57R19, 55P65
Keywords: calculus of functors, manifolds, simplicial complexes, complements

Tillmann, Steffen 1

1 Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany 
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Tillmann, Steffen. Occupants in simplicial complexes. Algebraic and Geometric Topology, Tome 19 (2019) no. 3, pp. 1265-1298. doi: 10.2140/agt.2019.19.1265

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