Results 1 to 10 of about 607 (92)
Nearly Soft Menger Spaces [PDF]
In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces ...
Tareq M. Al-shami +1 more
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On the Menger and almost Menger properties in locales
The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces.
Tilahun Bayih +2 more
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v-Regular Ternary Menger Algebras and Left Translations of Ternary Menger Algebras [PDF]
Let n be a fixed natural number. Ternary Menger algebras of rank n, which was established by the authors, can be regarded as a suitable generalization of ternary semigroups. In this article, we introduce the notion of v-regular ternary Menger algebras of
Anak Nongmanee, Sorasak Leeratanavalee
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Set Star-Menger and Set Strongly Star-Menger Spaces [PDF]
AbstractMotivated by the Arhangel’skii “s-Lindelöf cardinal function” definition, Kočinac and Konca defined and studied set covering properties and set star covering properties. In this paper, we present results on the star covering properties called set star-Menger and set strongly star-Menger.
Kočinac, Ljubiša D. R. +2 more
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Some properties defined by relative versions of star-covering properties II
In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star
Maddalena Bonanzinga +2 more
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Partial Menger algebras and their weakly isomorphic representation
As generalization of semigroups, Karl Menger introduced in the 1940th algebras of multiplace operations. Such algebras satisfy the superassociative law, a generalization of the associative law.
K. Denecke
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Quasi-Menger and weakly Menger frames
We study the quasi-Menger and weakly Menger properties in locales. Our definitions, which are adapted from topological spaces by replacing subsets with sublocales, are conservative in the sense that a topological space is quasi-Menger (resp. weakly Menger) if and only if the locale it determines is quasi-Menger (resp. weakly Menger).
Bayih, Tilahun +2 more
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Ternary Menger Algebras: A Generalization of Ternary Semigroups
Let n be a fixed natural number. Menger algebras of rank n, which was introduced by Menger, K., can be regarded as the suitable generalization of arbitrary semigroups.
Anak Nongmanee, Sorasak Leeratanavalee
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Karl Menger as Son of Carl Menger [PDF]
Little is known about the relationship between Carl Menger, founder of the Austrian School of Economics and one of the three fathers of marginal utility theory, and Karl Menger, whose Vienna Mathematical Colloquium was crucial to the development of mathematical economics. The present paper begins to fill this gap in the literature.
Scheall, Scott +1 more
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A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆⋃U, there is a countable subset V of U such that A ⊆ St (⋃V,U).
Sumit Singh
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