• Corpus ID: 236087750

# Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres

@inproceedings{Ngompe2021HomeomorphicMF,
title={Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres},
author={Arnaud Ngopnang Ngomp'e},
year={2021}
}
In this paper we present unpublished work by David Stone on polyhedral smash products. He proved that the polyhedral smash product of the CW-pair (D, S) over a simplicial complex K is homeomorphic to an iterated suspension of the geometric realization of K. Here we generalize his technique to the CW-pair (D, S), for an arbitrary k. We generalize the result further to a set of disks and spheres of different dimensions.

## References

SHOWING 1-6 OF 6 REFERENCES
Operations on polyhedral products and a new topological construction of infinite families of toric manifolds
• Mathematics
• 2010
A combinatorial construction is used to analyze the properties of polyhedral products and generalized moment-angle complexes with respect to certain operations on CW pairs including exponentiation.
The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces
• Mathematics
• 2007
This article gives a natural decomposition of the suspension of generalized moment-angle complexes or {\it partial product spaces} which arise as {\it polyhedral product functors} described below.
Algebraic Topology
The focus of this paper is a proof of the Nielsen-Schreier Theorem, stating that every subgroup of a free group is free, using tools from algebraic topology.
Toric topology, volume 204 ofMathematical Surveys and Monographs
• American Mathematical Society,
• 2015
Private communication with A. Bahri
• 2006
University of Regina, 3737 Wascana Pkwy, Regina, SK S4S 0A2, Canada Email address
• 2006