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arXiv · 2212.12445

Homotopical selection principles in bitopological dynamical systems

Santanu Acharjee·Kabindra Goswami·Hemanta Kumar Sarmah
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Abstract

Homotopy deals with the intuitive idea of continuous deformation of a continuous map between two topological spaces. In this paper, we introduce homotopical selection principles in bitopological dynamical systems. Here, we define $BTDS-$homotopy, $BTDS-$iteration homotopy and $BTDS-$path homotopy, and then using these notions we define various selection properties viz. H-Rothberger property, H-Menger property, PH-Rothberger property, PH-Menger property and their weaker versions. We also discuss several results connecting these concepts in bitopological dynamical systems.

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Santanu Acharjee, Kabindra Goswami, Hemanta Kumar Sarmah. 2022-12-29. Homotopical selection principles in bitopological dynamical systems. https://arxiv.org/abs/2212.12445

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