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Spaces with star countable extent

A. D. Rojas-Sánchez, Angel Tamariz-Mascarúa (2016)

Commentationes Mathematicae Universitatis Carolinae

For a topological property $P$ , we say that a space $X$ is star $P$ if for every open cover $𝒰$ of the space $X$ there exists $A \subset X$ such that $s t (A, 𝒰) = X$ . We consider space with star countable extent establishing the relations between the star countable extent property and the properties star Lindelöf and feebly Lindelöf. We describe some classes of spaces in which the star countable extent property is equivalent to either the Lindelöf property or separability. An example is given of a Tychonoff star Lindelöf space with...

Spaces with $σ$ -locally countable weak-bases

Zhaowen Li (2006)

Archivum Mathematicum

In this paper, spaces with $σ$ -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or $g$ -first countable spaces with $σ$ -locally countable $c s$ -networks).

Spaces $X$ in which all prime $z$ -ideals of $C (X)$ are minimal or maximal

Melvin Henriksen, Jorge Martinez, Grant R. Woods (2003)

Commentationes Mathematicae Universitatis Carolinae

Quasi $P$ -spaces are defined to be those Tychonoff spaces $X$ such that each prime $z$ -ideal of $C (X)$ is either minimal or maximal. This article is devoted to a systematic study of these spaces, which are an obvious generalization of $P$ -spaces. The compact quasi $P$ -spaces are characterized as the compact spaces which are scattered and of Cantor-Bendixson index no greater than 2. A thorough account of locally compact quasi $P$ -spaces is given. If $X$ is a cozero-complemented space and every nowhere dense zeroset...

Splittability for ordered topological spaces

Dermot J. Marron, T. Brian M. McMaster (2000)

Bollettino dell'Unione Matematica Italiana

In quest'articolo dimostriamo come il concetto «spezzabilità», formulato e sviluppato di Arhangel'skii, viene trasferito dallo studio di spazi topologici a quello di spazi topologici parzialmente ordinati. Otteniamo numerosi risultati in forma «se $X$ è spezzabile (facendo uso di funzioni appropriatamente scelte) su spazi che hanno una proprietà, allora anche $X$ soddisfa la stessa proprietà».

Displaying 41 – 52 of 52

Spaces with star countable extent

Spaces with $σ$ -locally countable weak-bases

Spaces $X$ in which all prime $z$ -ideals of $C (X)$ are minimal or maximal

Splittability for ordered topological spaces

Stable closed frame homomorphisms

Strongly homotopically stabile points

Strongly irresolvable spaces.

Subcontra-continuous functions.

Subparacompact Inverse Images of 2-subparacompact Spaces

Super and strongly faintly continuous multifunctions.

Sur les fonctions cliquish

Sur un problème de Ricceri

Currently displaying 41 – 52 of 52