Generalization of some fuzzy separation axioms to ditopological texture spaces.
Ertürk, Riza, Dost, Şenol, Özçağ, Selma (2009)
The Journal of Nonlinear Sciences and its Applications
Charles Dorsett (1988)
Revista colombiana de matematicas
Taylor, Paul (2000)
Theory and Applications of Categories [electronic only]
D. W. Hajek (1982)
Matematički Vesnik
Daniel K. McNeill (2012)
Commentationes Mathematicae Universitatis Carolinae
This paper investigates necessary and sufficient conditions for a space to have an H-closed extension with countable remainder. For countable spaces we are able to give two characterizations of those spaces admitting an H-closed extension with countable remainder. The general case is more difficult, however, we arrive at a necessary condition — a generalization of Čech completeness, and several sufficient conditions for a space to have an H-closed extension with countable remainder. In particular,...
K. K. Dube, R. K. Sengar (1980)
Matematički Vesnik
Laszlo Csirmaz (2023)
Kybernetika
A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of participants allows us to investigate their abstract properties, to connect the topic to other branches of mathematics, and to discover new design paradigms. A scheme is perfect if unqualified subsets have no information on the secret, that is, their total share...
Stavros Christodoulou (1999)
Commentationes Mathematicae Universitatis Carolinae
This work presents some cardinal inequalities in which appears the closed pseudo-character, , of a space. Using one of them — for spaces — we improve, from to spaces, the well-known result that initially -compact spaces are -bounded for all cardinals such that . And then, using an idea of A. Dow, we prove that initially -compact spaces are in fact compact for , , , , or , where for all .
Mendez, Osvaldo, Popescu, Liviu Horia, Schwab, Emil Daniel (2008)
Balkan Journal of Geometry and its Applications (BJGA)
Rudolf -E. Hoffmann (1977)
Manuscripta mathematica
Salas Brown, Margot, Carpintero, Carlos, Rosas, Ennis (2007)
Divulgaciones Matemáticas
Fidel Casarrubias-Segura, Fernando Hernández-Hernández, Angel Tamariz-Mascarúa (2010)
Commentationes Mathematicae Universitatis Carolinae
We prove that, assuming MA, every crowded space is -resolvable if it satisfies one of the following properties: (1) it contains a -network of cardinality constituted by infinite sets, (2) , (3) is a Baire space and and (4) is a Baire space and has a network with cardinality and such that the collection of the finite elements in it constitutes a -locally finite family. Furthermore, we prove that the existence of a Baire irresolvable space is equivalent to the existence of...
Theodoros Vidalis (2004)
Commentationes Mathematicae Universitatis Carolinae
In this paper we show that a minimal space in which compact subsets are closed is countably compact. This answers a question posed in [1].
Caldas, Miguel (2001)
Divulgaciones Matemáticas
Dontchev, Julian, Ganster, Maximilian (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
J. Schröder (1992)
Commentationes Mathematicae Universitatis Carolinae
Let be the large source of epimorphisms in the category of Urysohn spaces constructed in [2]. A sink is called natural, if for all . In this paper natural sinks are characterized. As a result it is shown that permits no -factorization structure for arbitrary (large) sources.
A. Vučić (1987)
Matematički Vesnik
Ali Sayed Elfard (2013)
Topological Algebra and its Applications
In 1985, V. G. Pestov described a neighborhood base at the identity of free topological groups on a Tychonoff space in terms of the elements of the fine uniformity on the Tychonoff space. In this paper, we extend Postev’s description to the free paratopological groups where we introduce a neighborhood base at the identity of free paratopological groups on any topological space in terms of the elements of the fine quasiuniformity on the space.
Allam, A.A., Bakeir, M.Y., Abo-Tabl, E.A. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Josep Guía, Rafael Lledó, Isabel Segura (1986)
Collectanea Mathematica