A note on paratopological groups

Chuan Liu

Displaying similar documents to “A note on paratopological groups”

On weakly monotonically monolithic spaces

Liang-Xue Peng (2010)

Commentationes Mathematicae Universitatis Carolinae

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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.

Strong pseudocompact properties

Salvador García-Ferreira, Y. F. Ortiz-Castillo (2014)

Commentationes Mathematicae Universitatis Carolinae

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For a free ultrafilter $p$ on $ℕ$ , the concepts of strong pseudocompactness, strong $p$ -pseudocompactness and pseudo- $ω$ -boundedness were introduced in [Angoa J., Ortiz-Castillo Y.F., Tamariz-Mascarúa A., Ultrafilters and properties related to compactness, Topology Proc. 43 (2014), 183–200] and [García-Ferreira S., Ortiz-Castillo Y.F., Strong pseudocompact properties of certain subspaces of $ℕ^{*}$ , submitted]. These properties in a space $X$ characterize the pseudocompactness of the hyperspace $𝒦 (X)$ of compact...

Mapping theorems on $ℵ$ -spaces

Masami Sakai (2008)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we improve some mapping theorems on $ℵ$ -spaces. For instance we show that an $ℵ$ -space is preserved by a closed and countably bi-quotient map. This is an improvement of Yun Ziqiu’s theorem: an $ℵ$ -space is preserved by a closed and open map.

Displaying similar documents to “A note on paratopological groups”

On weakly monotonically monolithic spaces

Strong pseudocompact properties

Mapping theorems on ℵ -spaces

Mapping theorems on $ℵ$ -spaces