Displaying similar documents to “A Note On Quasi-Lindelöf Spaces Дна бележка върху квази-линдельофовите пространства”

The quasi topology associated with a countably subadditive set function

Bent Fuglede (1971)

Annales de l'institut Fourier

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This is a general study of an increasing, countably subadditive set function, called a capacity, and defined on the subsets of a topological space X . The principal aim is the study of the “quasi-topological” properties of subsets of X , or of numerical functions on X , with respect to such a capacity C . Analogues are obtained to various important properties of the fine topology in potential theory, notably the quasi Lindelöf principle (Doob), the existence of a fine support (Getoor), and...

Weakly complete semimetrizable spaces and complete metrizability.

Salvador Romaguera, Sam D. Shore (1996)

Extracta Mathematicae

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In [4], J. Ceder proved that every paracompact strongly complete semimetrizable space is completely metrizable. This result cannot be generalized to paracompact weakly complete semimetrizable spaces as a known example of L. F. McAuley shows (see [11, Theorem 3.2]). It then arises, in a natural way, the question of obtaining conditions for the complete metrizability of a paracompact weakly complete semimetrizable space. In this note we give an answer to this question. We show that every...