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$ℵ_{0}$ -spaces and images of separable metric spaces.

Ge, Ying (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

$𝒫$ -approximable compact spaces

Mihail G. Tkachenko (1991)

Commentationes Mathematicae Universitatis Carolinae

For every topological property $𝒫$ , we define the class of $𝒫$ -approximable spaces which consists of spaces X having a countable closed cover $γ$ such that the “section” $X (x, γ) = ⋂ {F \in γ : x \in F}$ has the property $𝒫$ for each $x \in X$ . It is shown that every $𝒫$ -approximable compact space has $𝒫$ , if $𝒫$ is one of the following properties: countable tightness, $ℵ_{0}$ -scatteredness with respect to character, $C$ -closedness, sequentiality (the last holds under MA or $2^{ℵ_{0}} < 2^{ℵ_{1}}$ ). Metrizable-approximable spaces are studied: every compact space in this class has...

$ℰ_{B}$ -dimension function of bitopological spaces

M. Jelić (1987)

Matematički Vesnik

$\partial$ -closed sets in biclosure spaces

Chawalit Boonpok (2009)

Acta Mathematica Universitatis Ostraviensis

In the present paper, we introduce and study the concept of $\partial$ -closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of $\partial$ -continuous maps.

$ℒ$ -fuzzy nonlinear approximation theory with application.

Yousefi, A., Soleimani-Vareki, M. (2009)

The Journal of Nonlinear Sciences and its Applications

*-Compactifications

Schmid, J. (1978)

Portugaliae mathematica

𝓤-filters and uniform compactification

Tomi Alaste (2012)

Studia Mathematica

We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.

$ℓ_{1}$ -continuous partitions of unity on normed spaces

Miloš Zahradník (1976)

Czechoslovak Mathematical Journal

(LF)-Spaces, Quasi-Baire Spaces and the Strongest Locally Convex Topology.

Stephen A. Saxon, P. P. Narayanaswami (1986)

Mathematische Annalen

(Quasi)-uniformities on the set of bounded maps.

Papadopoulos, Basil K. (1994)

International Journal of Mathematics and Mathematical Sciences

[unknown]

M. Jelić (1990)

Matematički Vesnik

$α$ -continuous and $α$ -irresolute multifunctions

Jiling Cao, Ivan L. Reilly (1996)

Mathematica Bohemica

Recently Popa and Noiri [10] established some new characterizations and basic properties of $α$ -continuous multifunctions. In this paper, we improve some of their results and examine further properties of $α$ -continuous and $α$ -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].

$α$ -fuzzy compactness in $I$ -topological spaces.

Gregori, Valentín, Künzi, Hans-Peter A. (2003)

International Journal of Mathematics and Mathematical Sciences

β-open and β-continuous mappings in fuzzy bitopological spaces

S. S. Thakur, Annamma Philip (1995)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

$δ$ -complétion et $G_{δ}$ -densité

A. Deaibes, R. Pupier (1972)

Publications du Département de mathématiques (Lyon)

$ε$ -approximation and fixed points of nonexpansive mappings in metric spaces

T. D. Narang, Sumit Chandok (2009)

Matematički Vesnik

$π$ -mappings in $l s$ -Ponomarev-systems

Nguyen Van Dung (2011)

Archivum Mathematicum

We use the $l s$ -Ponomarev-system $(f, M, X, {𝒫_{λ, n}})$ , where $M$ is a locally separable metric space, to give a consistent method to construct a $π$ -mapping (compact mapping) with covering-properties from a locally separable metric space $M$ onto a space $X$ . As applications of these results, we systematically get characterizations of certain $π$ -images (compact images) of locally separable metric spaces.

$σ$ -porosity in monotonic analysis with applications to optimization.

Rubinov, A.M. (2005)

Abstract and Applied Analysis

$σ$ -porosity is separably determined

Marek Cúth, Martin Rmoutil (2013)

Czechoslovak Mathematical Journal

We prove a separable reduction theorem for $σ$ -porosity of Suslin sets. In particular, if $A$ is a Suslin subset in a Banach space $X$ , then each separable subspace of $X$ can be enlarged to a separable subspace $V$ such that $A$ is $σ$ -porous in $X$ if and only if $A \cap V$ is $σ$ -porous in $V$ . Such a result is proved for several types of $σ$ -porosity. The proof is done using the method of elementary submodels, hence the results can be combined with other separable reduction theorems. As an application we extend a theorem...

Σ-spaces

Keiô Nagami (1969)

Fundamenta Mathematicae

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