Decomposing manifolds into Cartesian products
Geometric Topology
2017-12-01 v1
Abstract
The decomposability of a Cartesian product of two nondecomposable manifolds into products of lower dimensional manifolds is studied. For 3-manifolds we obtain an analog of a result due to Borsuk for surfaces, and in higher dimensions we show that similar analogs do not exist unless one imposes further restrictions such as simple connectivity.
Cite
@article{arxiv.1711.11537,
title = {Decomposing manifolds into Cartesian products},
author = {Slawomir Kwasik and Reinhard Schultz},
journal= {arXiv preprint arXiv:1711.11537},
year = {2017}
}