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54-XX General topology
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Displaying 121 – 140 of 142

Convergencia En Relacion.

Nicolás M. Zalote (1988)

Revista colombiana de matematicas

Convergent Filter Bases

Roland Coghetto (2015)

Formalized Mathematics

We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).

Convergent sequences in $β X$

Frič, Roman, Vojtáš, Peter (1984)

Proceedings of the 11th Winter School on Abstract Analysis

Convex half-spaces

Marek Lassak (1984)

Fundamenta Mathematicae

Convex $(L, M)$ -fuzzy remote neighborhood operators

Hu Zhao, Li-Yan Jia, Gui-Xiu Chen (2024)

Kybernetika

In this paper, two kinds of remote neighborhood operators in $(L, M)$ -fuzzy convex spaces are proposed, which are called convex $(L, M)$ -fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L, M)$ -fuzzy remote neighborhood operators can be used to characterize $(L, M)$ -fuzzy convex structures. In addition, the lattice structures of two kinds of convex $(L, M)$ -fuzzy remote neighborhood operators are also given.

Convexity on a topological space

H. Komiya (1981)

Fundamenta Mathematicae

Correction to: Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom

Judy Roitman (1988)

Fundamenta Mathematicae

Correction to the paper: Covering $^{ω} ω$ by special Cantor sets

Gary Gruenhage, Ronnie Levy (2004)

Commentationes Mathematicae Universitatis Carolinae

Corrigendum to “Minimal $K C$ -spaces are countably compact”

Theodoros Vidalis (2009)

Commentationes Mathematicae Universitatis Carolinae

Corrigendum to "Products of pseudoradial spaces".

Obersnel, Franco, Tironi, Gino (1995)

Mathematica Pannonica

Countable compactness and $p$ -limits

Salvador García-Ferreira, Artur Hideyuki Tomita (2001)

Commentationes Mathematicae Universitatis Carolinae

For $\emptyset \neq M \subseteq ω^{*}$ , we say that $X$ is quasi $M$ -compact, if for every $f : ω \to X$ there is $p \in M$ such that $\bar{f} (p) \in X$ , where $\bar{f}$ is the Stone-Čech extension of $f$ . In this context, a space $X$ is countably compact iff $X$ is quasi $ω^{*}$ -compact. If $X$ is quasi $M$ -compact and $M$ is either finite or countable discrete in $ω^{*}$ , then all powers of $X$ are countably compact. Assuming $C H$ , we give an example of a countable subset $M \subseteq ω^{*}$ and a quasi $M$ -compact space $X$ whose square is not countably compact, and show that in a model of A. Blass and S. Shelah every quasi...

Countable fan-tightness versus countable tightness

Aleksander V. Arhangel'skii, Angelo Bella (1996)

Commentationes Mathematicae Universitatis Carolinae

Countable tightness is compared to the stronger notion of countable fan-tightness. In particular, we prove that countable tightness is equivalent to countable fan-tightness in countably compact regular spaces, and that countable fan-tightness is preserved by pseudo-open compact mappings. We also discuss the behaviour of countable tightness and of countable fan-tightness under the product operation.

Countable Hausdorff spaces with countable weight

Věra Trnková (1985)

Commentationes Mathematicae Universitatis Carolinae

Countable sums and products of Loeb and selective metric spaces

Horst Herrlich, Kyriakos Keremedis, Eleftherios Tachtsis (2005)

Commentationes Mathematicae Universitatis Carolinae

We investigate the role that weak forms of the axiom of choice play in countable Tychonoff products, as well as countable disjoint unions, of Loeb and selective metric spaces.

Countable Toronto spaces

Gary Gruenhage, J. Moore (2000)

Fundamenta Mathematicae

A space X is called an α-Toronto space if X is scattered of Cantor-Bendixson rank α and is homeomorphic to each of its subspaces of the same rank. We answer a question of Steprāns by constructing a countable α-Toronto space for each α ≤ ω. We also construct consistent examples of countable α-Toronto spaces for each $α < ω_{1}$ .

Countably metacompact spaces in the constructible universe

Paul Szeptycki (1993)

Fundamenta Mathematicae

We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a $G_{δ}$ . In addition some nonperfect spaces with σ-disjoint bases are constructed.

Covering dimension of fuzzy spaces

H. Zougdani (1984)

Matematički Vesnik

Covering dimension of inverse limit of fuzzy spaces

H. Zougdani (1985)

Matematički Vesnik

Covering of a space by nowhere dense sets

Petr Simon (1977)

Commentationes Mathematicae Universitatis Carolinae

Covering $^{ω} ω$ by special Cantor sets.

Gruenhage, Gary, Levy, Ronnie (2004)

Commentationes Mathematicae Universitatis Carolinae

Currently displaying 121 – 140 of 142

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