Displaying similar documents to “The fixed point property for some cartesian products”

Composition of axial functions of products of finite sets

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.

Selections and approaching points in products

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.

The crossing numbers of certain Cartesian products

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.

Induced open projections and C*-smoothness

Włodzimierz J. Charatonik, Alejandro Illanes, Verónica Martínez-de-la-Vega (2013)

Colloquium Mathematicae

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We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).

Oriented colouring of some graph products

N.R. Aravind, N. Narayanan, C.R. Subramanian (2011)

Discussiones Mathematicae Graph Theory

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We obtain some improved upper and lower bounds on the oriented chromatic number for different classes of products of graphs.

One Erdös style inequality

Tomáš J. Kepka, Petr C. Němec (2019)

Commentationes Mathematicae Universitatis Carolinae

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One unusual inequality is examined.

Non-separating subcontinua of planar continua

D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)

Colloquium Mathematicae

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We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.

Tourist products buyers in the Luboń Wielki area

Witold Warcholik (2015)

Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

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The article presents segmentation of tourist products buyers in the Luboń Wielki area. The results are shown in the context of attempts to create market for tourist services in Beskid Wyspowy. Tourist profile was created based on the monitoring of tourism traffic and surveys, including the perception of the image of this part of the mountains. Elements registered as essential in the planning and development of tourist services are: the existence of two peaks in the daily presence of...