Stellar subdivision and polyhedral products
Stellar subdivision and polyhedral products
We consider the homotopy theory of polyhedral products arising from the operation of stellar subdivision on simplicial complexes. In the special case of polyhedral products formed from pairs (S^(n_i) , ∗) where the S^(n_i) ’s are simply-connected spheres, information is deduced about the growth of the rational and torsion homotopy groups.
homotopy type, polyhedral product, simplicial complex, stellar subdivision
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
(2024)
Stellar subdivision and polyhedral products.
Proceedings of the Steklov Institute of Mathematics.
(In Press)
Abstract
We consider the homotopy theory of polyhedral products arising from the operation of stellar subdivision on simplicial complexes. In the special case of polyhedral products formed from pairs (S^(n_i) , ∗) where the S^(n_i) ’s are simply-connected spheres, information is deduced about the growth of the rational and torsion homotopy groups.
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Accepted/In Press date: 1 February 2024
Keywords:
homotopy type, polyhedral product, simplicial complex, stellar subdivision
Identifiers
Local EPrints ID: 486827
URI: http://eprints.soton.ac.uk/id/eprint/486827
ISSN: 0081-5438
PURE UUID: fd81c29a-bb18-4a89-a968-74ac0afaf846
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Date deposited: 06 Feb 2024 17:49
Last modified: 18 Mar 2024 03:24
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