Displaying similar documents to “Between closed sets and generalized closed sets in closure spaces”

Complete ℵ 0 -bounded groups need not be ℝ -factorizable

Mihail G. Tkachenko (2001)

Commentationes Mathematicae Universitatis Carolinae

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We present an example of a complete ℵ 0 -bounded topological group H which is not ℝ -factorizable. In addition, every G δ -set in the group H is open, but H is not Lindelöf.

κ-compactness, extent and the Lindelöf number in LOTS

David Buhagiar, Emmanuel Chetcuti, Hans Weber (2014)

Open Mathematics

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We study the behaviour of ℵ-compactness, extent and Lindelöf number in lexicographic products of linearly ordered spaces. It is seen, in particular, that for the case that all spaces are bounded all these properties behave very well when taking lexicographic products. We also give characterizations of these notions for generalized ordered spaces.

HC-convergence theory of L -nets and L -ideals and some of its applications

A. A. Nouh (2003)

Mathematica Bohemica

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In this paper we introduce and study the concepts of error -closed set and error -limit ( error -cluster) points of L -nets and L -ideals using the notion of almost N -compact remoted neighbourhoods in L -topological spaces. Then we introduce and study the concept of error -continuous mappings. Several characterizations based on error -closed sets and the error -convergence theory of L -nets and L -ideals are presented for error -continuous mappings.