On countably compact reduced products, III
L. Pacholski (1971)
Colloquium Mathematicae
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L. Pacholski (1971)
Colloquium Mathematicae
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D. V. Thampuran (1970)
Matematički Vesnik
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A. J. Ostaszewski (1974)
Colloquium Mathematicae
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J. Väisäla (1967)
Colloquium Mathematicae
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Milan Grulović (1987)
Publications de l'Institut Mathématique
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Nobuyuki Kemoto (1991)
Fundamenta Mathematicae
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J. Tomasik (1976)
Colloquium Mathematicae
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Ph. Dwinger (1974)
Colloquium Mathematicae
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E. Grzegorek (1976)
Colloquium Mathematicae
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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.
Thomas S. Fiske (1891/92)
Bulletin of the New York Mathematical Society
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Marián Klešč (1995)
Discussiones Mathematicae Graph Theory
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In this article we determine the crossing numbers of the Cartesian products of given three graphs on five vertices with paths.
Roman Mańka (2001)
Fundamenta Mathematicae
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It is proved that the cylinder X × I over a planar λ-dendroid X has the fixed point property. This is a partial solution of two problems posed by R. H. Bing (cf. [1], Questions 9 and 10).