Results 1 to 10 of about 61 (61)
A variation of the class of statistical γ covers
Topological Algebra and its Applications, 2023 In this article, we introduce s-s-γ\gamma cover using the notion of star operator, which is an extension of the previous results on s-γ\gamma covers.
Bal Prasenjit, Rakshit Debjani
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Algebraic entropy of endomorphisms of M-sets
Topological Algebra and its Applications, 2021 The usual notion of algebraic entropy associates to every group (monoid) endomorphism a value estimating the chaos created by the self-map. In this paper, we study the extension of this notion to arbitrary sets endowed with monoid actions, providing ...
Zava Nicolò
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Localic completion of uniform spaces [PDF]
Logical Methods in Computer Science, 2017 We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised ...
Tatsuji Kawai
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Uniform topology on EQ-algebras
Open Mathematics, 2017 In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated.
Yang Jiang, Long Xin Xiao, He Peng Fei
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Balanced and functionally balanced P-groups
Topological Algebra and its Applications, 2018 In relation to Itzkowitz’s problem [5], we show that a c-bounded P-group is balanced if and only if it is functionally balanced.We prove that for an arbitrary P-group, being functionally balanced is equivalent to being strongly functionally balanced.
Shlossberg Menachem
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On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
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Topological Algebra and its Applications, 2018 In [7] a relation between completeness of certain uniformity on ordered sets and restrictions of homeomorphisms of compactifications is described. We shall add more details here and correct one proof.
Hušek Miroslav
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Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces [PDF]
, 2005 2000 Mathematics Subject Classification: 47H10, 54E15.The purpose of this paper is to define the notion of A-distance and E-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive ...
El Moutawakil, D., Aamri, M.
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Variations of classical selection principles: an overview
, 2020 The paper is an overview of selected results on weaker forms of classical selection principles of Menger, Hurewicz, Rothberger and Gerlits-Nagy obtained in the last few years.
Kočinac, Ljubiša D.R.
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On the Metrization Lemma for Uniform Spaces
, 2001 We show a numeric generalization of the well-known metrization lemma for uniform spaces, thereby answering a question left open in [2] to the affirmative.
Windels, B
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