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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2022, Volume 317, Pages 168–178
DOI: https://doi.org/10.4213/tm4284 (Mi tm4284) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Polyhedral Products for Connected Sums of Simplicial Complexes

Stephen Theriault

Mathematical Sciences, University of Southampton, Southampton, SO17 1BJ, United Kingdom
Full-text PDF (209 kB) Citations (2)
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DOI: https://doi.org/10.4213/tm4284
Abstract: We investigate how the homotopy type of a polyhedral product changes under the operation of taking the connected sum of two simplicial complexes. This is obtained as a consequence of a more general result that considers how the homotopy type of a polyhedral product changes under the operation of gluing two simplicial complexes together along a common full subcomplex.
Keywords: polyhedral product, simplicial complex, connected sum.
Received: March 9, 2022
Revised: May 31, 2022
Accepted: June 8, 2022
English version:
Proceedings of the Steklov Institute of Mathematics, 2022, Volume 317, Pages 151–160
DOI: https://doi.org/10.1134/S0081543822020080
Bibliographic databases:
Document Type: Article
UDC: 515.143
MSC: Primary 55R05, 55U10; Secondary 13F55
Language: Russian
Citation: Stephen Theriault, “Polyhedral Products for Connected Sums of Simplicial Complexes”, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Collected papers, Trudy Mat. Inst. Steklova, 317, Steklov Math. Inst., М., 2022, 168–178; Proc. Steklov Inst. Math., 317 (2022), 151–160
Citation in format AMSBIB
\Bibitem{The22}
\by Stephen~Theriault
\paper Polyhedral Products for Connected Sums of Simplicial Complexes
\inbook Toric Topology, Group Actions, Geometry, and Combinatorics. Part~1
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2022
\vol 317
\pages 168--178
\publ Steklov Math. Inst.
\publaddr М.
\mathnet{http://mi.mathnet.ru/tm4284}
\crossref{https://doi.org/10.4213/tm4284}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2022
\vol 317
\pages 151--160
\crossref{https://doi.org/10.1134/S0081543822020080}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85141996066}
Linking options:
  • https://www.mathnet.ru/eng/tm4284
  • https://doi.org/10.4213/tm4284
  • https://www.mathnet.ru/eng/tm/v317/p168
    • This publication is cited in the following 2 articles:
    1. Lewis Stanton, “Loop Space Decompositions of Moment-Angle Complexes Associated to Flag Complexes”, The Quarterly Journal of Mathematics, 75:2 (2024), 457  crossref
    2. Stephen Theriault, “Stellar Subdivision and Polyhedral Products”, Proc. Steklov Inst. Math., 326 (2024), 289–302  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    References:78
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