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Network Structures from Selection Principles [PDF]
Physical Review Letters, 2004 We present an analysis of the topologies of a class of networks which are optimal in terms of the requirements of having as short a route as possible between any two nodes while yet keeping the congestion in the network as low as possible. Strikingly, we
A. Fabrikant +14 more
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Principles for the selection and integration of educational multimedia materials [PDF]
Research in Learning Technology, 1998 A variety of educational multimedia resources, varying in both type and quality, is now available. The course tutor faces the problem of how to evaluate multimedia artefacts and integrate them into course delivery.
Tom Boyle
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Selection principles of polymeric frameworks for solid-state electrolytes of non-aqueous aluminum-ion batteries [PDF]
Frontiers in Chemistry, 2023 Liquid electrolyte systems of aluminum-ion batteries (AIBs) have restrictive issues, such as high moisture sensitivity, strong corrosiveness, and battery leakage, so researchers have turned their attention to developing high safety, leak-free polymer ...
Zhijing Yu +7 more
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A semifilter approach to selection principles [PDF]
, 2004 We develop the semifilter approach to the classical Menger and Hurewicz covering properties and show that the small cardinal g is a lower bound of the additivity number of the family of Menger subspaces of the Baire space, and under u< g every subset X ...
Zdomsky, Lubomyr
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Selection principles for Gaia [PDF]
Journal of Theoretical Biology, 2022 The Gaia hypothesis considers the life-environment coupled system as a single entity that acts to regulate and maintain habitable conditions on Earth. In this paper we discuss three mechanisms which could potentially lead to Gaia: Selection by Survival, Sequential Selection and Entropic Hierarchy.
Arthur, Rudy, Nicholson, Arwen
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Some observations on a clopen version of the Rothberger property
Cubo, 2023 In this paper, we prove that a clopen version $S_1(\mathcal{C}_\mathcal{O}, \mathcal{C}_\mathcal{O})$ of the Rothberger property and Borel strong measure zeroness are independent.
Manoj Bhardwaj, Alexander V. Osipov
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On almost set-Menger spaces in bitopological context
AIMS Mathematics, 2022 In this paper, we define the $ ij $-almost-set Menger ($ ij $-ASM) property in bitopological spaces. We put up some equivalences of $ ij $-almost-set Menger bitopological spaces and investigate the behaviours of such spaces under some different types of ...
Necati Can Açıkgöz +1 more
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Selection principles and bitopological hyperspaces
Applied General Topology, 2023 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 closed subsets of X.
Alexander V. Osipov
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On Star Selection Principles Theory
Axioms, 2023 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.
Ljubiša D. R. Kočinac
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Selection principles: s-Menger and s-Rothberger-bounded groups
Applied General Topology, 2022 In this paper, selection principles are defined and studied in the realm of irresolute topological groups. Especially, s-Menger-bounded and s-Rothberger-bounded type covering properties are introduced and studied.
Muhammad Asad Iqbal, Moiz ud Din Khan
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