n-dimensional Klein bottles

2017/06/12 by Donald M. Davis, Davis, Donald M.
Engineering · Mathematics · #55M30 #55P15 #57R42 #Advanced Materials and Mechanics #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1706.03704

openalex publication_date 2017/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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