Metrizability of the unit ball of the dual of a quasi-normed cone

L. M. García-Raffi; S. Romaguera; E. A. Sánchez-Pérez; O. Valero

Displaying similar documents to “Metrizability of the unit ball of the dual of a quasi-normed cone”

Quasi-metrizable spaces with a bicomplete structure.

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Dimension of quasi-metrizable spaces and bicompleteness degree.

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The quasi topology associated with a countably subadditive set function

Bent Fuglede (1971)

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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...

Versatile asymmetrical tight extensions

Olivier Olela Otafudu, Zechariah Mushaandja (2017)

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We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.

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On half-completion and bicompletion of quasi-metric spaces

Elena Alemany, Salvador Romaguera (1996)

Commentationes Mathematicae Universitatis Carolinae

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We characterize the quasi-metric spaces which have a quasi-metric half-completion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space $X$ is quasi-metric if and only if $X$ is finite.