English

The Rational Sectional Category of Certain Universal Fibrations

Algebraic Topology 2017-01-25 v1

Abstract

We prove that the sectional category of the universal fibration with fibre X, for X any space that satisfies a well-known conjecture of Halperin, equals one after rationalization.

Keywords

Cite

@article{arxiv.1701.06695,
  title  = {The Rational Sectional Category of Certain Universal Fibrations},
  author = {Gregory Lupton and Samuel Bruce Smith},
  journal= {arXiv preprint arXiv:1701.06695},
  year   = {2017}
}

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7 pages