Results 1 to 10 of about 607 (92)

Nearly Soft Menger Spaces [PDF]

open access: yesJournal of Mathematics, 2020
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
doaj   +3 more sources

On the Menger and almost Menger properties in locales

open access: yesApplied General Topology, 2021
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
doaj   +6 more sources

v-Regular Ternary Menger Algebras and Left Translations of Ternary Menger Algebras [PDF]

open access: yesMathematics, 2021
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
doaj   +3 more sources

Set Star-Menger and Set Strongly Star-Menger Spaces [PDF]

open access: yesMathematica Slovaca, 2022
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
openaire   +3 more sources

Some properties defined by relative versions of star-covering properties II

open access: yesApplied General Topology, 2023
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
doaj   +1 more source

Partial Menger algebras and their weakly isomorphic representation

open access: yesMathematics Open, 2022
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
doaj   +1 more source

Quasi-Menger and weakly Menger frames

open access: yesFilomat, 2022
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
openaire   +2 more sources

Ternary Menger Algebras: A Generalization of Ternary Semigroups

open access: yesMathematics, 2021
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
doaj   +1 more source

Karl Menger as Son of Carl Menger [PDF]

open access: yesHistory of Political Economy, 2018
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
openaire   +2 more sources

On set star-Lindelöf spaces

open access: yesApplied General Topology, 2022
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
doaj   +1 more source

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