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Codimension one spheres which are null homotopic

Differential Geometry 2012-12-07 v1 Geometric Topology

Abstract

This paper classifies embedded, codimension-one spheres which are null homotopic. This information is used to show that all null homotopic, immersed codimension-one spheres which are taut in the sense of Terng and Thorbergsson are actually distance spheres.

Cite

@article{arxiv.math/9808028,
  title  = {Codimension one spheres which are null homotopic},
  author = {Laurence R. Taylor},
  journal= {arXiv preprint arXiv:math/9808028},
  year   = {2012}
}

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6 pages