Products of proximites
D. V. Thampuran (1970)
Matematički Vesnik
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D. V. Thampuran (1970)
Matematički Vesnik
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A. J. Ostaszewski (1974)
Colloquium Mathematicae
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Andrzej Ehrenfeucht, Edward Grzegorek (1974)
Colloquium Mathematicae
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J. Tomasik (1976)
Colloquium Mathematicae
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L. Pacholski (1971)
Colloquium Mathematicae
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Ph. Dwinger (1974)
Colloquium Mathematicae
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Milan Grulović (1987)
Publications de l'Institut Mathématique
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Valentin Gutev (2016)
Commentationes Mathematicae Universitatis Carolinae
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The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by García-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of a result of Katětov about complete normality of products. Also, some applications for products with a countably compact factor are demonstrated as well.
F. Balibrea, C. La Paz (1997)
Annales Polonici Mathematici
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One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.
Jerzy Dydak (1974)
Colloquium Mathematicae
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Thomas S. Fiske (1891/92)
Bulletin of the New York Mathematical Society
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W. A. Majewski (2012)
Banach Center Publications
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A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.