English

Homology Lens Spaces in Topological 4-Manifolds

Geometric Topology 2007-05-23 v1

Abstract

For a closed 4-manifold X and closed 3-manifold M we investigate the smallest integer n (perhaps infinity) such that M embeds in the connected sum of n copies of X. It is proven that any lens space (or homology lens space) embeds topologically locally flatly in a connected sum of 8 copies of the complex projective plane.

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Cite

@article{arxiv.math/0112245,
  title  = {Homology Lens Spaces in Topological 4-Manifolds},
  author = {Allan L. Edmonds},
  journal= {arXiv preprint arXiv:math/0112245},
  year   = {2007}
}

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8 pages