-movable and -calm compacta and their images
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Zvonko Čerin (1982)
Compositio Mathematica
Vielma, Jorge, Rosas, Ennis (2004)
Divulgaciones Matemáticas
Ekici, Erdal (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Tholen, Walter (1999)
Homology, Homotopy and Applications
Ljubomir B. Ćirić (1971)
Publications de l'Institut Mathématique
Dorothy S. Marsh (1980)
Colloquium Mathematicae
Chrisostomos Petalas, Theodoros Vidalis (2004)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
It is well known that a function from a space into a space is continuous if and only if, for every set in the image of the closure of under is a subset of the closure of the image of it. In this paper we characterize almost continuity and weak continuity by proving similar relations for the subsets of .
Eric Robinson (1979)
Fundamenta Mathematicae
Stallings, Yvonne O. (1985)
International Journal of Mathematics and Mathematical Sciences
Louis F. McAuley (1977)
Colloquium Mathematicae
Schochetman, Irwin E. (2006)
International Journal of Mathematics and Mathematical Sciences
Ondrej Kalenda (2000)
Collectanea Mathematica
B. B. Epps (1976)
Colloquium Mathematicae
Aleksander Błaszczyk (1983)
Commentationes Mathematicae Universitatis Carolinae
P. Holický, Miroslav Zelený (2000)
Fundamenta Mathematicae
Let f be a Borel measurable mapping of a Luzin (i.e. absolute Borel metric) space L onto a metric space M such that f(F) is a Borel subset of M if F is closed in L. We show that then is a set for all except countably many y ∈ M, that M is also Luzin, and that the Borel classes of the sets f(F), F closed in L, are bounded by a fixed countable ordinal. This gives a converse of the classical theorem of Arsenin and Kunugui. As a particular case we get Taĭmanov’s theorem saying that the image of...
H. DeKleine, Jack Girolo (1978)
Fundamenta Mathematicae
Jiří Jelínek (2003)
Acta Universitatis Carolinae. Mathematica et Physica
A. Błaszczyk (1973)
Colloquium Mathematicae
Roman Pol (1990)
Acta Universitatis Carolinae. Mathematica et Physica
James Williams (1974)
Colloquium Mathematicae
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