Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres
Abstract
In this paper we present unpublished work by David Stone on polyhedral smash products. He proved that the polyhedral smash product of the CWpair $(D^2, S^1)$ over a simplicial complex $K$ is homeomorphic to an iterated suspension of the geometric realization of $K$. Here we generalize his technique to the CWpair $(D^{k+1}, S^{k})$, for an arbitrary $k$. We generalize the result further to a set of disks and spheres of different dimensions.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.08163
 Bibcode:
 2021arXiv210708163N
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Algebraic Topology;
 Mathematics  General Topology;
 Primary 55U10;
 Secondary 57Q05
 EPrint:
 Strengthened the main result (now Theorem 6.6). Minor changes elsewhere. To appear in [TBA]. 16 pages, 7 figures