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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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L. Pacholski (1971)
Colloquium Mathematicae
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J. Tomasik (1976)
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.
Campbell, Geoffrey B. (1994)
International Journal of Mathematics and Mathematical Sciences
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Haase, Dietrich, Stachel, Hellmuth (1996)
Beiträge zur Algebra und Geometrie
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Krzysztof Płotka (2007)
Colloquium Mathematicae
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We show that every function f: A × B → A × B, where |A| ≤ 3 and |B| < ω, can be represented as a composition f₁ ∘ f₂ ∘ f₃ ∘ f₄ of four axial functions, where f₁ is a vertical function. We also prove that for every finite set A of cardinality at least 3, there exist a finite set B and a function f: A × B → A × B such that f ≠ f₁ ∘ f₂ ∘ f₃ ∘ f₄ for any axial functions f₁, f₂, f₃, f₄, whenever f₁ is a horizontal function.
Knut Oyma (1997)
Publicacions Matemàtiques
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The closed convex hull of the interpolating Blaschke products contains any bounded analytic function of sufficiently small norm.