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Displaying 161 – 180 of 214

Remarks on extremally disconnected semitopological groups

Igor V. Protasov (2002)

Commentationes Mathematicae Universitatis Carolinae

Answering recent question of A.V. Arhangel'skii we construct in ZFC an extremally disconnected semitopological group with continuous inverse having no open Abelian subgroups.

Remarks on Namioka spaces and R. E. Johnson's theorem on the norm seperability of the range of certain mappings.

Jens Peter Reus Christensen (1983)

Mathematica Scandinavica

Remarks on topologies uniquely determined by their continuous self maps

Jiří Rosický (1974)

Czechoslovak Mathematical Journal

Representability of concrete categories by non-constant morphisms

Jiří Rosický, Věra Trnková (1989)

Archivum Mathematicum

Semi-closed sets and the associated topology

Nanda Dulal Banerjee, Chhanda Bandyopadhyay (1983)

Mathematica Slovaca

Sequentially continuous mappings of product spaces

D. V. Choodnovsky (1977/1978)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Singular arc-like continua [Book]

Tadeusz Maćkowiak (1986)

Some characterizations of bitopological connectivity properties

M. Mršević (1986)

Matematički Vesnik

Some observations on local uniform boundedness principles

James D. Stein (1991)

Czechoslovak Mathematical Journal

Some observations on local uniform boundedness principles. II

James D. Stein (1993)

Czechoslovak Mathematical Journal

Some problems and lines of investigation in general topology

Aleksander V. Arhangel'skii (1988)

Commentationes Mathematicae Universitatis Carolinae

Some properties of oscillation

Pavel Kostyrko (1980)

Mathematica Slovaca

Some remarks providing discontinuous maps on some $C_{p} (X)$ spaces

S. Moll (2008)

Banach Center Publications

Let X be a completely regular Hausdorff topological space and $C_{p} (X)$ the space of continuous real-valued maps on X endowed with the pointwise topology. A simple and natural argument is presented to show how to construct on the space $C_{p} (X)$ , if X contains a homeomorphic copy of the closed interval [0,1], real-valued maps which are everywhere discontinuous but continuous on all compact subsets of $C_{p} (X)$ .

Spaces with countable $s n$ -networks

Ge Ying (2004)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we prove that a space $X$ is a sequentially-quotient $π$ -image of a metric space if and only if $X$ has a point-star $s n$ -network consisting of $c s^{*}$ -covers. By this result, we prove that a space $X$ is a sequentially-quotient $π$ -image of a separable metric space if and only if $X$ has a countable $s n$ -network, if and only if $X$ is a sequentially-quotient compact image of a separable metric space; this answers a question raised by Shou Lin affirmatively. We also obtain some results on spaces with countable...

Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings

Jan Chvalina (1981)

Archivum Mathematicum

Stetige Funktionen auf dem Torus.

Wolfgang Schmidt (1961)

Journal für die reine und angewandte Mathematik

Sur la sommabilité de familles de fonctions uniformément continues

Ali Deaibes, René Pupier (1977)

Commentationes Mathematicae Universitatis Carolinae

Sur les fonctions cliquish

Zbigniew Grande (1985)

Časopis pro pěstování matematiky

Sur les sélecteurs des multifonctions

Milan Matejdes (1987)

Mathematica Slovaca

The clean elements of the ring $ℛ (L)$

Ali Akbar Estaji, Maryam Taha (2024)

Czechoslovak Mathematical Journal

We characterize clean elements of $ℛ (L)$ and show that $α \in ℛ (L)$ is clean if and only if there exists a clopen sublocale $U$ in $L$ such that $𝔠_{L} (coz (α - 1)) \subseteq U \subseteq 𝔬_{L} (coz (α))$ . Also, we prove that $ℛ (L)$ is clean if and only if $ℛ (L)$ has a clean prime ideal. Then, according to the results about $ℛ (L),$ we immediately get results about $𝒞_{c} (L) .$

Currently displaying 161 – 180 of 214

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