EuDML | Browse

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 $𝒞_{c} (L) .$

The coarsest topology for $I$ -approximately continuous functions

Ewa Łazarow (1986)

Commentationes Mathematicae Universitatis Carolinae

Currently displaying 161 – 180 of 213

Previous Page 9 Next