Results 1 to 10 of about 10,785 (236)
On the Menger and almost Menger properties in locales [PDF]
Applied 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 +7 more sources
Karl Menger as Son of Carl Menger [PDF]
History 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
core +5 more sources
Quasi-Menger and weakly Menger frames
Filomat, 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 +3 more sources
On nearly Menger and nearly star-Menger spaces [PDF]
Filomat, 2019 In 1999, Kocinac defined and characterized the almost Menger property. Following this concept, we define and investigate nearly Menger and nearly star-Menger spaces. Every Menger space is nearly Menger, and every nearly Menger space is almost Menger. It is demonstrated that a nearly Menger space may not necessarily be a Menger space. In the
Aqsa, Khan, Moiz ud Din
openaire +5 more sources
The strength of Menger's conjecture [PDF]
Topology and its Applications, 2021 arXiv admin note: text overlap with arXiv:1803 ...
Tall, Franklin D. +2 more
openaire +3 more sources
Some properties defined by relative versions of star-covering properties II
Applied 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
Mathematics 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
Ternary Menger Algebras: A Generalization of Ternary Semigroups
Mathematics, 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
Remarks on Semi-Menger and Star Semi-Menger Spaces
Tatra Mountains Mathematical Publications, 2022 Abstract It is proved that for an extremally disconnected S -paracompact- T 2 spaces the properties semi-Menger, Menger, strongly star semi-Menger, strongly star-Menger, star semi-Menger, star-Menger, almost semi ...
Kumar, Gaurav, Tyagi, Brij Kishore
openaire +1 more source
Applied 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