Results 1 to 10 of about 43 (43)

Computably Based Locally Compact Spaces [PDF]

open access: yesLogical Methods in Computer Science, 2006
ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated lambda-calculus.
Paul Taylor
doaj   +1 more source

Two new forms of ordered soft separation axioms

open access: yesDemonstratio Mathematica, 2020
The goal of this work is to introduce and study two new types of ordered soft separation axioms, namely soft Ti-ordered and strong soft Ti-ordered spaces (i = 0, 1, 2, 3, 4).
Al-shami Tareq M., El-Shafei Mohammed E.
doaj   +1 more source

Positive answers to Koch’s problem in special cases

open access: yesTopological Algebra and its Applications, 2020
A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact.
Banakh Taras   +4 more
doaj   +1 more source

Notes on Fuzzy Parametrized Soft Sets

open access: yesCumhuriyet Science Journal, 2018
In this paper, we introduced the notion of inverse Fpsoft set and studied some properties of it. Moreover, by using this new conceptwe characterized the continuity of Fp soft mappings and continuity of fuzzysoft mapping.
İdris Zorlutuna, Serkan Atmaca
doaj   +1 more source

Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces

open access: yesCumhuriyet Science Journal, 2017
In this paper, the relation between fuzzy soft topologicalspaces and parameter spaces isintroduced. After defining the parametrical property of fuzzy soft sets and wegive some examples.
Serkan Atmaca
doaj   +1 more source

On locally compact semitopological O-bisimple inverse ω-semigroups

open access: yesTopological Algebra and its Applications, 2018
We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
doaj   +1 more source

On star Rothberger spaces modulo an ideal

open access: yesApplied General Topology
In this article, we introduce the ideal star-Rothberger property by coupling the notion of a star operator to that of an ideal Rothberger space, after which some of its topological characteristics are analysed. By creating relationships between a numbers
Susmita Sarkar   +2 more
doaj   +1 more source

Selections, Paracompactness and Compactness [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: 54C60, 54C65, 54D20, 54D30.In the present paper the Lindelöf number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of ...
Mihaylova, Ekaterina P.   +2 more
core  

A short note on nearly perfect maps of locales

open access: yes, 2017
We characterise compact locales in terms of nearly perfect maps. We show in particular that these maps are the natural pointfree version of Bourbaki's proper maps - when defined via any ultrafillter - and that they extend Herrlich's notion of nearly ...
Razafindrakoto, Ando
core  

BOUNDED QUOTIENTS OF FRAMES

open access: yes, 2005
We define various notions of boundedness in frames along the lines of similar concepts for subspaces and give characterizations of these in terms of filters.
Dube, Themba
core  

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