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Stellar subdivision and polyhedral products
S. Theriault
University of Southampton
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 $(S^{n_{i}},\ast)$ where the $S^{n_{i}}$'s are simply-connected spheres, information is deduced about the growth of the rationaland torsion homotopy groups.
Keywords:
homotopy type, polyhedral product, simplicial complex, stellar subdivision
Received: July 7, 2023
Revised: July 7, 2023
Accepted: March 22, 2024
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https://www.mathnet.ru/eng/tm4398
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| Abstract page: | 54 |
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