Results 1 to 10 of about 26 (26)
Computably Based Locally Compact Spaces [PDF]
Logical 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
Demonstratio 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
Topological 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
Cumhuriyet 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
Compact and extremally disconnected spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1047-1056, 2004., 2004 Viglino defined a Hausdorff topological space to be C‐compact if each closed subset of the space is an H‐set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S‐set in the sense of Dickman and Krystock. Such spaces are called C‐s‐compact.
Bhamini M. P. Nayar
wiley +1 more source
Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces
Cumhuriyet 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 unified theory for continuities
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 291-301, 2002., 2002 The purpose of this study is to give a unified theory for some weak and strong continuous functions using operations.
Mahide Küçük, Yalçin Küçük
wiley +1 more source
Fuzzy properties in fuzzy convergence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 737-748, 2002., 2002 Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedness, and of continuity.
Gunther Jäger
wiley +1 more source
Quantification of topological concepts using ideals
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 561-579, 2001., 2001 We introduce certain ideals of real‐valued functions as a natural generalization of filters. We show that these ideals establish a canonical framework for the quantification of topological concepts, such as closedness, adherence, and compactness, in the setting of approach spaces.
Robert Lowen, Bart Windels
wiley +1 more source
On locally compact semitopological O-bisimple inverse ω-semigroups
Topological 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