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2019 Occupants in simplicial complexes
Steffen Tillmann
Algebr. Geom. Topol. 19(3): 1265-1298 (2019). DOI: 10.2140/agt.2019.19.1265

Abstract

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.

Citation

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Steffen Tillmann. "Occupants in simplicial complexes." Algebr. Geom. Topol. 19 (3) 1265 - 1298, 2019. https://doi.org/10.2140/agt.2019.19.1265

Information

Received: 2 November 2017; Revised: 28 August 2018; Accepted: 13 September 2018; Published: 2019
First available in Project Euclid: 29 May 2019

zbMATH: 07078604
MathSciNet: MR3954282
Digital Object Identifier: 10.2140/agt.2019.19.1265

Subjects:
Primary: 57R19
Secondary: 55P65

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 3 • 2019
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