Topological Complexity and LS-Category of Certain Manifolds

Fezzeh Akhtarifar, Mohammad A. Asadi-Golmankhaneh and Antonio Masiello

Journal of Mathematics, 2023, vol. 2023, 1-6

Abstract: The Lusternik–Schnirelmann category and topological complexity are important invariants of topological spaces. In this paper, we calculate the Lusternik–Schnirelmann category and topological complexity of products of real projective spaces and their wedge products by using cup and zero-cup length. Also, we will find the topological complexity of RP2k+1 by using the immersion dimension of RP2k+1.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6176847

DOI: 10.1155/2023/6176847

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