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An n-dimensional Klein bottle

Published online by Cambridge University Press:  16 January 2019

Donald M. Davis*
Affiliation:
Department of Mathematics, Lehigh University Bethlehem, PA 18015, USA ([email protected])

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.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2019 

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