Results 31 to 40 of about 87 (77)
Generalizations of Lindelöf Properties in Bitopological Spaces [PDF]
, 2008 A bitopological space (X, τ 1, τ 2) is a set X together with two (arbitrary) topologies τ 1 and τ 2 defined on X. The first significant investigation into bitopological spaces was launched by J. C. Kelly in 1963.
Salleh, Zabidin
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On bitopological quasi-pseudometrization [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractIn this paper we give a sufficient condition of quasi-pseudometrization for bitopological spaces. From this condition we obtain, as immediate corollaries, some known results.
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Projective bitopological spaces [PDF]
Journal of the Australian Mathematical Society, 1972 J. C. Kelly [2] introduced the concept of a bitopological space. Lane [3], Patty [4] and Pervin [5] have continued his work. Our purpose in this paper is to identify the projective objects in a suitable category of bitopological spaces after the manner of Gleason [1] and generalize his theorem that in the category of compact Hausdoriff topological ...
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Properties of Separation Axioms in Bitopological Spaces
Journal of Bangladesh Academy of Sciences, 2020 In this paper, three notions of separation axioms in bitopological space are discussed. Some relations of topology and bitopology in such notions have been found. Further, that these notions are hereditary and topological property are proved. Journal of Bangladesh Academy of Sciences, Vol. 43, No.
Roshmi, Rupaya, Hossain, M. S.
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International Journal of Recent Technology and Engineering (IJRTE), 2019 In this paper the authors have introduced a new function on a bitopological space which provides us with a tool to develop a new bitopology. Various characteristics of the derived bitopological spacehav been studied. two new separation axioms have also been introduced over the bitopological spaces.
Poonam Agarwal, Chandra Kant Goel
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, 2011 Separation axioms are among the most common and important and interesting concepts in topology as well as in bitopologies. In this paper, we introduce ?r -sets and some weak separation axioms using ?r -open sets and ?r -closure ...
Husna Zayadi
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Superextension as bitopological space
Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ., 2017 The author studies some properties of a bitopological space and its subspaces that appear on the superextension of a topological space \(X\). The superextension of \(X\) is the set of all maximal linked systems of closed subsets of \(X\). Two topologies on the superextension of \(X\) are considered: one of Wallman type and the other of Stone type.
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We generalize the concept of stack one dimension higher, introducing a notion of 2-stack suitable for a trihomomorphism from a 2-category equipped with a bitopology into the tricategory of bicategories. Moreover, we give a characterization of 2-stacks in
Caviglia, Elena
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Bitopological local compactness
Indagationes Mathematicae (Proceedings), 1972 AbstractIn a bitopological space (X, T1, T2), T1 is said to be locally compact with respect to T2 if for each point x ϵ X there is a T1 open neighbourhood of x whose T2 closure is pairwise compact. (X, T1, T2) is pairwise locally compact if T1 is locally compact with respect to T2 and T2 is locally compact with respect to T1.
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Almost 2-Fully Normal, Pairwise Paracompact and Complete Developable Bispaces
, 2004 We introduce and study the notion of an almost 2-fully normal bispace. In particular; we prove that a bispace is quasi-pseudometrizable if and only if it is almost 2-fully normal and pairwise developable.
Romaguera, Salvador
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