English

Computations in rational sectional category

Algebraic Topology 2015-03-10 v2

Abstract

We give simple upper bounds for rational sectional category and use them to compute invariants of the type of Farber's topological complexity of rational spaces. In particular we show that the sectional category of formal morphisms reaches its cohomological lower bound and give a method to compute higher topological complexity of formal spaces in terms of their cohomology.

Keywords

Cite

@article{arxiv.1205.4597,
  title  = {Computations in rational sectional category},
  author = {J. G. Carrasquel-Vera},
  journal= {arXiv preprint arXiv:1205.4597},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-21T21:07:15.187Z