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Neighborhood base at the identity of free paratopological groups

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.

n-movable compacta and ANR-systems

G. Kozlowski, Jack Segal (1974)

Fundamenta Mathematicae

Non-subharmonicity of the Hausdorff distance

Edoardo Vesentini (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.

Observations on spaces with zeroset or regular $G_{δ}$ -diagonals

Raushan Z. Buzyakova (2005)

Commentationes Mathematicae Universitatis Carolinae

We show that if $X^{2}$ has countable extent and $X$ has a zeroset diagonal then $X$ is submetrizable. We also make a couple of observations regarding spaces with a regular $G_{δ}$ -diagonal.

On an affirmative answer to Y. Tanaka's and Y. Ge's problem

Luong Quoc Tuyen (2017)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.

On closed mappings

Szymon Plewik (1988)

Czechoslovak Mathematical Journal

On compact spaces which are unions of certain collections of subspaces of special type

Aleksander V. Arhangel'skii (1976)

Commentationes Mathematicae Universitatis Carolinae

On convergent sequences and fixed point theorems in $D$ -metric spaces.

Naidu, S.V.R., Rao, K.P.R., Rao, N.Srinivasa (2005)

International Journal of Mathematics and Mathematical Sciences

On countably paracompact spaces and closed maps

Harley, P.W. III (1989)

Portugaliae mathematica

On generalizations of Lešnev's theorem

Chaber, J. (1980)

Abstracta. 8th Winter School on Abstract Analysis

On local merotopic character

Petr Simon (1971)

Commentationes Mathematicae Universitatis Carolinae

On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces

J. Chaber, M. Čoban, Keiô Nagami (1974)

Fundamenta Mathematicae

On natural metrics.

Claudi Alsina, Enric Trillas (1977)

Stochastica

In the present note we study the effective construction of a natural generalized metric structure (on a set), obtaining as particular case the result of Menger. In the case of groups, we analyze its topology and its structure of natural proximity space (in the sense of Efremovic).

In this paper, we give characterizations of certain weak-open images of metric spaces.

On Topological Spaces With Dense Completely Metrizable Subspaces

T. Nagamizu (1993)

Publications de l'Institut Mathématique

Currently displaying 41 – 60 of 94

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Displaying 41 – 60 of 94

Neighborhood base at the identity of free paratopological groups

n-movable compacta and ANR-systems

Non-subharmonicity of the Hausdorff distance

Observations on spaces with zeroset or regular $G_{δ}$ -diagonals

On an affirmative answer to Y. Tanaka's and Y. Ge's problem

On closed mappings

On compact spaces which are unions of certain collections of subspaces of special type

On convergent sequences and fixed point theorems in $D$ -metric spaces.

On countably paracompact spaces and closed maps

On generalizations of Lešnev's theorem

On local merotopic character

On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces

On natural metrics.

On some topologies on a generalized metric space.

On the concepts of balls in a $D$ -metric space.

On the definition of a probalistic normed space.

On the quasi-uniform convergence of transfinite sequences of functions.

On the topology of $D$ -metric spaces and generation of $D$ -metric spaces from metric spaces.

On the weak-open images of metric spaces

On Topological Spaces With Dense Completely Metrizable Subspaces

Currently displaying 41 – 60 of 94