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Natural sinks on $Y_{β}$

J. Schröder (1992)

Commentationes Mathematicae Universitatis Carolinae

Let ${(e_{β} : 𝐐 \to Y_{β})}_{β \in Ord}$ be the large source of epimorphisms in the category $Ury$ of Urysohn spaces constructed in [2]. A sink ${(g_{β} : Y_{β} \to X)}_{β \in Ord}$ is called natural, if $g_{β} \circ e_{β} = g_{β^{'}} \circ e_{β^{'}}$ for all $β, β^{'} \in Ord$ . In this paper natural sinks are characterized. As a result it is shown that $Ury$ permits no $(E p i, ℳ)$ -factorization structure for arbitrary (large) sources.

Nearness and uniform type structures

Carlson, John W. (1981)

Portugaliae mathematica

Neighborhood spaces.

Kent, D.C., Min, Won Keun (2002)

International Journal of Mathematics and Mathematical Sciences

Non Archimedean metric induced fuzzy uniform spaces.

Lowen, R., Srivastava, A.K., Wuyts, P. (1989)

International Journal of Mathematics and Mathematical Sciences

Non-constant continuous maps of modifications of topological spaces

Věra Trnková, Miroslav Hušek (1988)

Commentationes Mathematicae Universitatis Carolinae

Normal P-spaces and the $G_{δ}$ -topology

R. Levy, M. D. Rice (1981)

Colloquium Mathematicae

Note about atom-categories of topological spaces

Miroslav Hušek, Jan Pelant (1974)

Commentationes Mathematicae Universitatis Carolinae

Note on universal topological completion

Rudolf-E. Hoffmann (1979)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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