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Čech-Stone-like compactifications for general topological spaces

Miroslav Hušek (1992)

Commentationes Mathematicae Universitatis Carolinae

The problem whether every topological space X has a compactification Y such that every continuous mapping f from X into a compact space Z has a continuous extension from Y into Z is answered in the negative. For some spaces X such compactifications exist.

Characterization of fuzzy order relation by fuzzy cone

Masamichi Kon (2022)

Kybernetika

In the present paper, fuzzy order relations on a real vector space are characterized by fuzzy cones. It is well-known that there is one-to-one correspondence between order relations, that a real vector space with the order relation is an ordered vector space, and pointed convex cones. We show that there is one-to-one correspondence between fuzzy order relations with some properties, which are fuzzification of the order relations, and fuzzy pointed convex cones, which are fuzzification of the pointed...

Characterizations of Lambek-Carlitz type

Emil Daniel Schwab (2004)

Archivum Mathematicum

We give Lambek-Carlitz type characterization for completely multiplicative reduced incidence functions in Möbius categories of full binomial type. The q -analog of the Lambek-Carlitz type characterization of exponential series is also established.

Classification of tensor products of symmetric graphs

Wilfried Imrich, Aleš Pultr (1991)

Commentationes Mathematicae Universitatis Carolinae

In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.

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