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arXiv · 2107.08163

Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres

Arnaud Ngopnang Ngompé
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Abstract

In this paper we present unpublished work by David Stone on polyhedral smash products.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 $(D^2, S^1)$ 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 $(D^{k+1}, S^{k})$, for an arbitrary $k$. We generalize the result further to a set of disks and spheres of different dimensions.

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Arnaud Ngopnang Ngompé. 2021-09-27. Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres. https://arxiv.org/abs/2107.08163

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