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

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

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.

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Hauptverfasser: Fişekci, Seher, Vandembroucq, Lucile
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Topology
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Zusammenfassung: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.
DOI:10.48550/arxiv.2012.04777