On the structure of the dual complexity space: The general case.
Salvador Romaguera, Michel Schellekens (1998)
Extracta Mathematicae
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Salvador Romaguera, Michel Schellekens (1998)
Extracta Mathematicae
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Ebanks, Bruce R. (1998)
International Journal of Mathematics and Mathematical Sciences
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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 is quasi-metric if and only if is finite.
Jens Frehse (1979)
Manuscripta mathematica
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Salvador Romaguera, Sergio Salbany (1992)
Extracta Mathematicae
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Olivier Olela Otafudu, Zechariah Mushaandja (2017)
Topological Algebra and its Applications
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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.
Uwe Hamann, Günther Wildenhain (1987)
Banach Center Publications
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Salvador Romaguera, Enrique A. Sánchez-Pérez, Oscar Valero (2003)
Kybernetika
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We introduce a new (extended) quasi-metric on the so-called dual p-complexity space, which is suitable to give a quantitative measure of the improvement in complexity obtained when a complexity function is replaced by a more efficient complexity function on all inputs, and show that this distance function has the advantage of possessing rich topological and quasi-metric properties. In particular, its induced topology is Hausdorff and completely regular. Our approach is applied to the...