An n-dimensional Klein bottle

An n-dimensional Klein bottle

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.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2019-10, Vol.149 (5), p.1207-1221
1. Verfasser: Davis, Donald M.
Format: Artikel
Sprache:eng
Schlagworte:
Euclidean geometry
Euclidean space
Homology
Submerging
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Zusammenfassung: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.
ISSN:0308-2105
1473-7124
DOI:10.1017/prm.2018.73