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Applications of maximal μ-open sets in generalized topology and quasi topology

Bishwambhar Roy, Ritu Sen (2013)

Discussiones Mathematicae - General Algebra and Applications

In this paper, some fundamental properties of maximal μ-open sets such as decomposition theorem for a maximal μ-open set, are given in a generalized topological space. Some basic properties of intersection of maximal μ-open sets are established, cohere the law of μ-radical μ-closure in a quasi topological space is obtained, among the other things.

Applications of some strong set-theoretic axioms to locally compact T₅ and hereditarily scwH spaces

Peter J. Nyikos (2003)

Fundamenta Mathematicae

Under some very strong set-theoretic hypotheses, hereditarily normal spaces (also referred to as T₅ spaces) that are locally compact and hereditarily collectionwise Hausdorff can have a highly simplified structure. This paper gives a structure theorem (Theorem 1) that applies to all such ω₁-compact spaces and another (Theorem 4) to all such spaces of Lindelöf number ≤ ℵ₁. It also introduces an axiom (Axiom F) on crowding of functions, with consequences (Theorem 3) for the crowding of countably compact...

Approach merotopological spaces and their completion.

Khare, Mona, Tiwari, Surabhi (2010)

International Journal of Mathematics and Mathematical Sciences

Approximate quantities, hyperspaces and metric completeness

Valentín Gregori, Salvador Romaguera (2000)

Bollettino dell'Unione Matematica Italiana

Mostriamo che se $(X, d)$ è uno spazio metrico completo, allora è completa anche la metrica $D$ , indotta in modo naturale da $d$ sul sottospazio degli insiemi sfocati («fuzzy») di $X$ dati dalle quantità approssimate. Come è ben noto, $D$ è una metrica molto interessante nella teoria dei punti fissi di applicazioni sfocate, poiché permette di ottenere risultati soddisfacenti in questo contesto.

Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$

Vladimir Vladimirovich Tkachuk (1986)

Commentationes Mathematicae Universitatis Carolinae

Approximative limit and related notions

Miroslav Sova (1991)

Mathematica Bohemica

Some notions of limit weaker than the topological one are studied.

Are initially $ω_{1}$ -compact separable regular spaces compact?

Alan Dow, Istvan Juhász (1997)

Fundamenta Mathematicae

We investigate the question of the title. While it is immediate that CH yields a positive answer we discover that the situation under the negation of CH holds some surprises.

Displaying 141 – 154 of 154

Applications of maximal μ-open sets in generalized topology and quasi topology

Applications of some strong set-theoretic axioms to locally compact T₅ and hereditarily scwH spaces

Approach merotopological spaces and their completion.

Approximate quantities, hyperspaces and metric completeness

Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$

Approximative limit and related notions

Are initially $ω_{1}$ -compact separable regular spaces compact?

Are most measurable functions one-to-one?

Arithmetic Properties of certain partially ordered Semigeroups.

Arrows in the “finite product theorem for certain epireflections'” of R. Frič and D. C. Kent

Assertion Q distinguishes topologically ω* and $𝔪$ when $𝔪$ regular and $𝔪 > ω$

Atoms and proximal fineness

Atoms in uniformities

Atomy ve svazu uniformit

Currently displaying 141 – 154 of 154