Displaying similar documents to “Metrizability, generalized metric spaces and g -functions”

Relative symmetrizability and metrizability

Aleksander V. Arhangel'skii, I. Ju. Gordienko (1996)

Commentationes Mathematicae Universitatis Carolinae

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Relative metrizability is defined and connections with other relative properties are established.

k -systems, k -networks and k -covers

Jinjin Li, Shou Lin (2006)

Czechoslovak Mathematical Journal

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The concepts of k -systems, k -networks and k -covers were defined by A. Arhangel’skiǐ in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among k -systems, k -networks and k -covers are further discussed and are established by m k -systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of m k -systems.