On the theory of $B$- and $B_r$-spaces in general topology

Dominik Noll

Displaying similar documents to “On the theory of $B$ - and $B_{r}$ -spaces in general topology”

Functional characterizations of p-spaces

Ľubica Holá (2013)

Open Mathematics

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We show that a completely regular space Y is a p-space (a Čech-complete space, a locally compact space) if and only if given a dense subspace A of any topological space X and a continuous f: A → Y there are a p-embedded subset (resp. a G δ-subset, an open subset) M of X containing A and a quasicontinuous subcontinuous extension f*: M → Y of f continuous at every point of A. A result concerning a continuous extension to a residual set is also given.

Open mapping theorems in topological spaces

Dominik Noll (1985)

Czechoslovak Mathematical Journal

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About Topological Groups and the Baire Property in Remainders Относно топологични групи и свойството на Бер в прираста

Arhangel’skii, Alexander, Choban, Mitrofan, Mihaylova, Ekaterina (2012)

Union of Bulgarian Mathematicians

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Александър В. Архангелски, Митрофан М. Чобан, Екатерина П. Михайлова - Изследвани са прирасти със свойството на Бер на топологични групи. In this paper we study the remainders with Baire property of topological groups. ∗2000 Mathematics Subject Classification: 54A35, 63E35, 54D50. Partially supported by a contract of Sofia University of 2012.

Weak continuity properties of topologized groups

J. Cao, R. Drozdowski, Zbigniew Piotrowski (2010)

Czechoslovak Mathematical Journal

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We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if $(G, \cdot, τ)$ is a regular right (left) semitopological group with $dev (G) < Nov (G)$ such that all left (right) translations are feebly continuous, then $(G, \cdot, τ)$ is a topological group. This extends several results in literature.

On $G_{δ}$ -spaces

Zdeněk Frolík (1959)

Czechoslovak Mathematical Journal

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Displaying similar documents to “On the theory of B - and B r -spaces in general topology”

Functional characterizations of p-spaces

Open mapping theorems in topological spaces

About Topological Groups and the Baire Property in Remainders Относно топологични групи и свойството на Бер в прираста

Weak continuity properties of topologized groups

On G δ -spaces

Displaying similar documents to “On the theory of $B$ - and $B_{r}$ -spaces in general topology”

On $G_{δ}$ -spaces