n-dimensional Klein bottles
Algebraic Topology
2017-06-20 v2
Abstract
An n-dimensional analogue of the Klein bottle arose in our study of topological complexity of planar polygon spaces. We determine its integral cohomology algebra and stable homotopy type, and give an explicit immersion and embedding in Euclidean space.
Cite
@article{arxiv.1706.03704,
title = {n-dimensional Klein bottles},
author = {Donald M. Davis},
journal= {arXiv preprint arXiv:1706.03704},
year = {2017}
}
Comments
added proof of integral cohomology algebra and an embedding result