Separable extensions of first countable spaces
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Eric van Douwen, Teodor Przymusiński (1980)
Fundamenta Mathematicae
Ulyanov, V.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Manuel López Pellicer, Enrique Tarazona Ferrandis (1981)
Revista Matemática Hispanoamericana
Certain equivalences of Mrowka's separating condition enable us to characterize when parametric maps are open, closed or quotient.
Brown, R.C. (1998)
Journal of Inequalities and Applications [electronic only]
Darryl McCullough, Leonard Rubin (1989)
Fundamenta Mathematicae
Shinji Kawaguchi (2007)
Commentationes Mathematicae Universitatis Carolinae
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 cases, such...
van Mill, J. (1977)
Abstracta. 5th Winter School on Abstract Analysis
Ronnie Levy, Mikhail Matveev (1999)
Commentationes Mathematicae Universitatis Carolinae
We characterize spaces with --linked bases as specially embedded subspaces of separable spaces, and derive some corollaries, such as the -productivity of the property of having a -linked base.
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