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Bornologies and filters applied to selection principles and function spaces

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1 Published in 2019 at "Topology and its Applications"

DOI: 10.1016/j.topol.2017.12.031

Abstract: Abstract We extend known results of selection principles in C p -theory to the context of spaces of the form C B ( X ) , where B is a bornology on X. Particularly, by… read more here.

Keywords: applied selection; filters applied; selection principles; function spaces ... See more keywords

Monotone versions of some selection principles II

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1 Published in 2019 at "Topology and its Applications"

DOI: 10.1016/j.topol.2020.107148

Abstract: Abstract A space X is monotonically Lindelof if there is an operator r that assigns to every open cover U a countable open cover r ( U ) so that r ( U ) refines… read more here.

Keywords: monotone versions; selection principles; versions selection;

Rothberger and Rothberger-type star selection principles on hyperspaces

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0 Published in 2021 at "Topology and its Applications"

DOI: 10.1016/j.topol.2020.107448

Abstract: Abstract In this paper we characterize the Rothberger property and the selection principles star-Rothberger and strongly star-Rothberger in the hyperspaces C L ( X ) , K ( X ) , F ( X )… read more here.

Keywords: rothberger rothberger; type star; selection; topology ... See more keywords

Exponent of convergence for double sequences and selection principles

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1 Published in 2017 at "Filomat"

DOI: 10.2298/fil1709821d

Abstract: In this paper, we will define the exponent of convergence for double sequences and in that terminology, we will prove tree new theorems in theory of selection principles for double sequences. read more here.

Keywords: exponent convergence; convergence double; selection principles; double sequences ... See more keywords

On Star Selection Principles Theory

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1 Published in 2023 at "Axioms"

DOI: 10.3390/axioms12010093

Abstract: The aim of this paper is to review up-to-date recent results in the field of star selection principles, a rapidly growing area of topology, and to present a few new results. read more here.

Keywords: topology; star selection; principles theory; selection principles ... See more keywords

Selection principles and bitopological hyperspaces

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1 Published in 2023 at "Applied General Topology"

DOI: 10.4995/agt.2023.12424

Abstract: In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2X the family of all… read more here.

Keywords: topology; selection principles; principles bitopological; space ... See more keywords