Results 21 to 30 of about 125 (64)
On Doitchinov's quietness for arbitrary quasi-uniform spaces [PDF]
The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an interesting completion theory for this class ofquasi-uniform spaces.
Kivuvu, Charly Makitu
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Fuzzy bicompletable quasi-fuzzy distance space
In this paper we introduce the definition of quasi-fuzzy distance space then we discuss several properties of this space after we give an example to illustrate this notion. Then we show that the existence of a quasi-fuzzy distance space which is not fuzzy bicompletable.
Jehad Kider, Aisha J. Hassan
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BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE [PDF]
In this paper we introduce the definition of standard fuzzy quasi-metric space then we discuss several properties after we give an example to illustrate this notion.
R. Kider, Jehad
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On The Existence Of Category Bicompletions
A completeness conjecture is advanced concerning the free small-colimit completion P(A) of a (possibly large) category A. The conjecture is based on the existence of a small generating-cogenerating set of objects in A. We sketch how the validity of the result would lead to the existence of an Isbell-Lambek bicompletion C(A) of such an A, without a ...
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Convexity in quasi-metric spaces [PDF]
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
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Contractible Coherence Spaces and Maximal Maps [PDF]
A coherence space is contractible if it can be generated from the singleton space under products and coproducts. We give an intrinsic characterization of contractible coherence spaces in connection with totality in [1, 2, 15].
Hu, Hongde
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Quasi-pseudometric spaces and some of their completions [PDF]
Word processed copy. Includes biliographical references (leaves 78-79)
Charly, Makitu Kivuvu
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On the fixed point theory in bicomplete quasi-metric spaces
[EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete quasi-metric spaces. From these generalizations we deduce quasi-metric versions of well-known fixed point theorems due to Krasnoselski˘ı and ...
Alegre Gil, Maria Carmen +3 more
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Sobrification and bicompletion of totally bounded quasi-uniform spaces [PDF]
We observe that if is a compatible totally bounded quasi-uniformity on a T0-space (X,), then the bicompletion of (X, ) is a strongly sober, locally quasicompact space.
Künzi, H. P. A., Brümmer, G. C. L.
core
A double completion for an arbitrary T0-quasi-metric space [PDF]
We present a conjugate invariant method for completing any T0-quasi-metric space. The completion is built as an extension of the bicompletion of the original space.
Kivuvu, Charly Makitu +1 more
core +1 more source

