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Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes

Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes
Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes

We show that the loop space of a moment-angle complex associated to a two-dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres and certain indecomposable spaces which appear in the loop space decomposition of Moore spaces. We also give conditions on certain subcomplexes under which, localised away from sufficiently many primes, the loop space of a moment-angle complex decomposes as a finite type product of spheres and loops on spheres.

0013-0915
Stanton, Lewis R.
a8038748-d2cf-4d2c-b495-7db673edaeae
Stanton, Lewis R.
a8038748-d2cf-4d2c-b495-7db673edaeae

Stanton, Lewis R. (2025) Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes. Proceedings of the Edinburgh Mathematical Society. (doi:10.1017/S0013091525000203).

Record type: Article

Abstract

We show that the loop space of a moment-angle complex associated to a two-dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres and certain indecomposable spaces which appear in the loop space decomposition of Moore spaces. We also give conditions on certain subcomplexes under which, localised away from sufficiently many primes, the loop space of a moment-angle complex decomposes as a finite type product of spheres and loops on spheres.

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Accepted/In Press date: 3 March 2025
e-pub ahead of print date: 7 April 2025
Published date: 7 April 2025
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Identifiers

Local EPrints ID: 499847
URI: http://eprints.soton.ac.uk/id/eprint/499847
DOI: doi:10.1017/S0013091525000203
ISSN: 0013-0915
PURE UUID: 4ff32847-5c88-4777-b932-d552c641ee36
ORCID for Lewis R. Stanton: ORCID iD orcid.org/0000-0003-4662-054X

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Date deposited: 07 Apr 2025 16:44
Last modified: 17 Oct 2025 04:05

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Author: Lewis R. Stanton ORCID iD

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