English

On the LS-category and topological complexity of projective product spaces

Algebraic Topology 2020-12-10 v1

Abstract

We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtained an upper bound for the topological complexity of these spaces, which improves the estimate given by J. Gonz\'alez, M. Grant, E. Torres-Giese, and M. Xicot\'encatl.

Keywords

Cite

@article{arxiv.2012.04777,
  title  = {On the LS-category and topological complexity of projective product spaces},
  author = {Seher Fişekci and Lucile Vandembroucq},
  journal= {arXiv preprint arXiv:2012.04777},
  year   = {2020}
}