Results 71 to 80 of about 149 (94)

Bicompletable Standard Fuzzy Quasi-Metric Space [PDF]

open access: yesJournal of Applied & Computational Mathematics, 2015
openaire   +1 more source

Spectral sequences via linear presheaves [PDF]

open access: yes
We study homotopy theory of the category of spectral sequences with respect to the class of weak equivalences given by maps which are quasi-isomorphisms on a fixed page.
Whitehouse, Sarah, Livernet, Muriel
core  

Bispaces admitting only bicomplete or only totally bounded quasi-metrics

Rendiconti Del Circolo Matematico Di Palermo, 2001
The authors extend the following result: a (pseudo) metrizable topological space admits only complete (pseudo) metrics if and only if it is compact. In section 2 the above result is studied for quasi-(pseudo) metrizable bispaces. An example shows that it is not true that quasi-metrizable bispaces \((X,S,T)\) admit only bicomplete quasi-metrics if and ...
S Romaguera, H P A Kunzi
exaly   +3 more sources

Constructing the sobrification of an approach space via bicompletion

Acta Mathematica Hungarica, 2007
Approach spaces form the missing link in the topology-uniformity-metric triad (R. Lowen). \textit{B. Banaschewski, R. Lowen} and \textit{C. Van Olmen} [Topology Appl., 153, No.~16, 3059--3070 (2006; Zbl 1114.54007)] have introduced a notion of sobriety for such approach spaces, modelled after the corresponding concept in the category of topological ...
Gerlo, An, Vandersmissen, Eva
exaly   +3 more sources

FIBREWISE BICOMPLETE QUASI-UNIFORM SPACES

Far East Journal of Mathematical Sciences, 2015
Summary: We introduce the notion of complete quasi-uniform spaces over a base space \(B\) and give some properties of these spaces. We introduce a general method to obtain fibrewise completion of quasi-uniform spaces over \(B\) and give internal descriptions of fibrewise completions for two different types.
Park, Jin Won, Lee, Byung Sik
exaly   +3 more sources

Fixed point of multivalued maps on partially ordered bicomplete quasi-metric spaces

Discussiones Mathematicae: Differential Inclusions, Control and Optimization
Summary: We introduce the concept of d-continuity and \(d^{-1}\)-continuity for multivalued mappings defined on a partially ordered quasi-metric spaces. Then, we prove several fixed point theorems for multivalued maps which generalize the existing results in the literature. At the end we give examples to illustrate our results.
Ismat Beg
exaly   +2 more sources

From Parity Games to Circular Proofs [PDF]

open access: yesElectronic Notes in Theoretical Computer Science, 2002
International audienceWe survey on the ongoing research that relates the combinatorics of parity games to the algebra of categories with finite products, finite coproducts, initial algebras and final coalgebras of definable functors, i.e.
Luigi Santocanale
exaly   +3 more sources

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