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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 326, Pages 314–329
DOI: https://doi.org/10.4213/tm4398 (Mi tm4398) 		 
Stellar Subdivision and Polyhedral Products

Stephen Theriault

School of Mathematical Sciences, University of Southampton, Southampton, SO17 1BJ, UK
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DOI: https://doi.org/10.4213/tm4398
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.
Keywords: homotopy type, polyhedral product, simplicial complex, stellar subdivision.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: July 7, 2023
Revised: July 7, 2023
Accepted: March 22, 2024
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 326, Pages 289–302
DOI: https://doi.org/10.1134/S008154382404014X
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Document Type: Article
Language: Russian
Citation: Stephen Theriault, “Stellar Subdivision and Polyhedral Products”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024, 314–329; Proc. Steklov Inst. Math., 326 (2024), 289–302
Citation in format AMSBIB
\Bibitem{The24}
\by Stephen~Theriault
\paper Stellar Subdivision and Polyhedral Products
\inbook Topology, Geometry, Combinatorics, and Mathematical Physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 326
\pages 314--329
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4398}
\crossref{https://doi.org/10.4213/tm4398}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 326
\pages 289--302
\crossref{https://doi.org/10.1134/S008154382404014X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-86000220902}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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