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Abstract
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Let
be a smooth
manifold and
be a simplicial complex of codimension at least
.
Functor calculus methods lead to a homotopical formula of
in terms of
spaces
where
is a finite
subset of
.
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
is assumed to be a
smooth submanifold of
and uses his generalization of manifold calculus adapted for simplicial complexes.
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Keywords
calculus of functors, manifolds, simplicial complexes,
complements
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Mathematical Subject Classification 2010
Primary: 57R19
Secondary: 55P65
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Publication
Received: 2 November 2017
Revised: 28 August 2018
Accepted: 13 September 2018
Published: 21 May 2019
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