On -regular spaces.
Kovár, Martin M. (1994)
International Journal of Mathematics and Mathematical Sciences
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Kovár, Martin M. (1994)
International Journal of Mathematics and Mathematical Sciences
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Kovár, Martin M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Kovár, Martin M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Aull, C. E.
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Ge, Ying (2006)
Lobachevskii Journal of Mathematics
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Aull, C. E.
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Kovačević, Ilija (1999)
Novi Sad Journal of Mathematics
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Strashimir G. Popvassilev (2012)
Mathematica Bohemica
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A topological space is called base-base paracompact (John E. Porter) if it has an open base such that every base has a locally finite subcover . It is not known if every paracompact space is base-base paracompact. We study subspaces of the Sorgenfrey line (e.g. the irrationals, a Bernstein set) as a possible counterexample.
Shinji Kawaguchi (2007)
Commentationes Mathematicae Universitatis Carolinae
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Arhangel’skii [Sci. Math. Jpn. 55 (2002), 153–201] defined notions of relative paracompactness in terms of locally finite open partial refinement and asked if one can generalize the notions above to the well known Michael’s criteria of paracompactness in [17] and [18]. In this paper, we consider some versions of relative paracompactness defined by locally finite (not necessarily open) partial refinement or locally finite closed partial refinement, and also consider closure-preserving...