منابع مشابه
Bicompletion and Samuel Bicompactification
It is proved that the quasi-proximity space induced by the bicompletion of a quasi-uniform T0-space X is a subspace of the quasi-proximity space induced by the Samuel bicompactification of X. The result is then used to establish that the locally finite covering quasi-uniformity defined on the category Top0 of topological T0-spaces and continuous maps is not lower K-true (in the sense of Brümmer...
متن کاملDavid Smyth
David Smyth is a plant developmental geneticist. He began his independent career at Monash University in Melbourne in 1974, where he investigated the basis of the very large genomes of the true lilies (Lilium species) when DNA cloning methods became available. Two abundant dispersed elements turned out to be retrotransposons, revealing their important role in bulking up some plant genomes. In 1...
متن کاملClifford D . Smyth
My research interests lie in discrete mathematics and complexity theory (MSC 05, 52, 60, 68) and my research falls mostly into one or more of the following topics: combinatorial probability, computational complexity, combinatorial geometry, random structures, and extremal problems. After a brief overview of my completed research, I will give a more detailed summary of some of its aspects and fu...
متن کاملThe bicompletion of fuzzy quasi-metric spaces
Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduce that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space coincides with the fuzzy metric space induced...
متن کاملIsometries on Quasi–normed Cones and Bicompletion
We show that every quasi–norm p on a (real) cancellative cone X induces in a natural way an extended quasi–metric ep on X for which (X, ep) is an extended quasi–metric cone. We prove that the structure of a quasi– normed cone is preserved by bicompletion, under bijective isometries. In fact, we observe that isometries are not necessarily injective in this setting. Some illustrative examples are...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1999
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00208-3