Results 21 to 30 of about 125 (64)

On Doitchinov's quietness for arbitrary quasi-uniform spaces [PDF]

open access: yes, 2010
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
core   +1 more source

Fuzzy bicompletable quasi-fuzzy distance space

open access: yesInternational Journal of Applied Mathematical Research, 2016
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
openaire   +2 more sources

BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE [PDF]

open access: yes, 2014
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
core   +1 more source

On The Existence Of Category Bicompletions

open access: yes, 2009
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 ...
openaire   +2 more sources

Convexity in quasi-metric spaces [PDF]

open access: yes, 2012
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
core   +1 more source

Contractible Coherence Spaces and Maximal Maps [PDF]

open access: yes, 1999
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
core   +1 more source

Quasi-pseudometric spaces and some of their completions [PDF]

open access: yes, 2007
Word processed copy. Includes biliographical references (leaves 78-79)
Charly, Makitu Kivuvu
core   +1 more source

On the fixed point theory in bicomplete quasi-metric spaces

open access: yesJournal of Nonlinear Sciences and Applications, 2016
[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
openaire   +3 more sources

Sobrification and bicompletion of totally bounded quasi-uniform spaces [PDF]

open access: yes, 2017
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]

open access: yes, 2008
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

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