New types of almost countable dense homogeneous space.

Tallafha, Abdalla; Al-Rawashdeh, Ahmed

Displaying similar documents to “New types of almost countable dense homogeneous space.”

Tightness and resolvability

Angelo Bella, Viacheslav I. Malykhin (1998)

Commentationes Mathematicae Universitatis Carolinae

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We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces.

Compact-calibres of regular and monotonically normal spaces.

McIntyre, David W. (2002)

International Journal of Mathematics and Mathematical Sciences

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Note on countable unions of Corson countably compact spaces

Ondřej F. K. Kalenda (2004)

Commentationes Mathematicae Universitatis Carolinae

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We show that a compact space $K$ has a dense set of $G_{δ}$ points if it can be covered by countably many Corson countably compact spaces. If these Corson countably compact spaces may be chosen to be dense in $K$ , then $K$ is even Corson.

About remainders in compactifications of homogeneous spaces

D. Basile, Angelo Bella (2009)

Commentationes Mathematicae Universitatis Carolinae

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We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space $X$ , every remainder of $X$ is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel’skii cannot be extended to homogeneous spaces.