On Nearly Paracompact Spaces via Regular Even Covers
M. N. Mukherjee, Atasi Debray (1998)
Matematički Vesnik
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M. N. Mukherjee, Atasi Debray (1998)
Matematički Vesnik
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I. Kovačević (1979)
Matematički Vesnik
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Kovár, Martin M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Kovacevic, Ilija (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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I. Kovacevic (1980)
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Kovačević, Ilija (1999)
Novi Sad Journal of Mathematics
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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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M. K. Singal, S. P. Arya (1979)
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Grinshpon, Yakov S. (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 54C10, 54D15, 54G12. For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous if and only if f : X ~⊗ Y→ Z is continuous. We prove a necessary condition of normality, a sufficient condition of collectionwise normality, and a criterion of normality of the products X ~⊗ Y in the case when at least...
Al-Zoubi, Khalid, Al-Ghour, Samer (2007)
International Journal of Mathematics and Mathematical Sciences
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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...