Decomposing manifolds into Cartesian products

Slawomir Kwasik; Reinhard Schultz

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arXiv · 1711.11537

Decomposing manifolds into Cartesian products

Slawomir Kwasik·Reinhard Schultz

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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.

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BibTeX RIS

Slawomir Kwasik, Reinhard Schultz. 2017-11-30. Decomposing manifolds into Cartesian products. https://arxiv.org/abs/1711.11537

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