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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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.
J. Tomasik (1976)
Colloquium Mathematicae
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Milan Grulović (1987)
Publications de l'Institut Mathématique
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Zoran Marković (1977)
Publications de l'Institut Mathématique
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Ph. Dwinger (1974)
Colloquium Mathematicae
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Thomas S. Fiske (1891/92)
Bulletin of the New York Mathematical Society
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E. Grzegorek (1976)
Colloquium Mathematicae
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Nobuyuki Kemoto (1991)
Fundamenta Mathematicae
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Antonio Avilés (2005)
Fundamenta Mathematicae
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We consider the compact spaces σₙ(Γ) of subsets of Γ of cardinality at most n and their countable products. We give a complete classification of their Banach spaces of continuous functions and a partial topological classification.