Spaces with -weakly hereditarily closure-preserving sn-networks.

Ge, Xun; Shen, Jianhua; Ying, Ge

Displaying similar documents to “Spaces with $σ$ -weakly hereditarily closure-preserving sn-networks.”

On $s o$ -metrizable spaces

Xun Ge (2009)

Matematički Vesnik

Similarity:

Spaces with a locally countable $s n$ -network.

Ge, Ying (2007)

Bulletin of TICMI

Similarity:

On some generalizations of LC-spaces.

Dontchev, J., Ganster, M., Kanibir, A. (1999)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

On weakly monotonically monolithic spaces

Liang-Xue Peng (2010)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this note, we introduce the concept of weakly monotonically monolithic spaces, and show that every weakly monotonically monolithic space is a $D$ -space. Thus most known conclusions on $D$ -spaces can be obtained by this conclusion. As a corollary, we have that if a regular space $X$ is sequential and has a point-countable $w c s^{*}$ -network then $X$ is a $D$ -space.

Lindelöf property and the iterated continuous function spaces

G. Sokolov (1993)

Fundamenta Mathematicae

Similarity:

We give an example of a compact space X whose iterated continuous function spaces $C_{p} (X)$ , $C_{p} C_{p} (X), . . .$ are Lindelöf, but X is not a Corson compactum. This solves a problem of Gul’ko (Problem 1052 in [11]). We also provide a theorem concerning the Lindelöf property in the function spaces $C_{p} (X)$ on compact scattered spaces with the $ω_{1}$ th derived set empty, improving some earlier results of Pol [12] in this direction.

A note on weakly hereditarily closure-preserving families.

Shen, Jianhua, Ge, Ying, Ge, Zhihong (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Similarity:

Paratopological (topological) groups with certain networks

Chuan Liu (2014)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this paper, we discuss certain networks on paratopological (or topological) groups and give positive or negative answers to the questions in [Lin2013]. We also prove that a non-locally compact, $k$ -gentle paratopological group is metrizable if its remainder (in the Hausdorff compactification) is a Fréchet-Urysohn space with a point-countable cs*-network, which improves some theorems in [Liu C., Metrizability of paratopological $($ semitopological $)$ groups, Topology Appl. 159 (2012), 1415–1420], [Liu...

Vietoris topology on spaces dominated by second countable ones

Carlos Islas, Daniel Jardon (2015)

Open Mathematics

Similarity:

For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = FK : K ∈ C(M) ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂ FL for any K;L ∈ C(M). A space X is strongly dominated by a space M if there exists an M-ordered compact cover F such that for any compact K ⊂ X there is F ∈ F such that K ⊂ F . Let K(X) D C(X){Øbe the set of all nonempty compact subsets...

Displaying similar documents to “Spaces with σ -weakly hereditarily closure-preserving sn-networks.”

Displaying similar documents to “Spaces with $σ$ -weakly hereditarily closure-preserving sn-networks.”