Parametric Topological Entropy of Possibly Discontinuous Maps in Compact Hausdorff Spaces and Hyperspaces
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-025-10408-8
Abstract: It is well known that the topological entropy of the induced hyperspace map is positive, provided so is the topological entropy of the original continuous single-valued map. In this paper we ask whether this is… read more here.
Keywords: possibly discontinuous; hausdorff spaces; compact hausdorff; parametric topological ... See more keywords
An extension of de Vries duality to normal spaces and locally compact Hausdorff spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.06.005
Abstract: Abstract By de Vries duality, the category of compact Hausdorff spaces is dually equivalent to the category of de Vries algebras. In a recent article, we have extended de Vries duality to completely regular spaces… read more here.
Keywords: duality; hausdorff spaces; compact hausdorff; vries duality ... See more keywords
Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
Sign Up to like & getrecommendations! Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2018-0155
Abstract: Abstract Let G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space G / H {G/H} . We present a… read more here.
Keywords: operators homogeneous; homogeneous spaces; spaces compact; pseudo differential ... See more keywords
Net-Compact Hausdorff Topologies and Continuous Multi-Utility Representations for Closed Preorders
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DOI: 10.3390/axioms14030188
Abstract: In this paper, we deal with continuous multi-utility representations for closed preorders. We introduce the definition of a net-compact topology, which generalizes the concept of a sequentially compact topology. Indeed, a sequentially compact and first… read more here.
Keywords: multi utility; continuous multi; compact hausdorff; topology ... See more keywords