Results 11 to 20 of about 26 (26)
On S‐cluster sets and S‐closed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 9, Page 597-603, 2000., 2000 A new type of cluster sets, called S‐cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S‐closed spaces. The deliberation includes an explicit expression of S‐cluster set of a function.
M. N. Mukherjee, Atasi Debray
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International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 203-212, 2000., 2000 We will continue the study of p‐closed spaces. This class of spaces is strictly placed between the class of strongly compact spaces and the class of quasi‐H‐closed spaces. We will provide new characterizations of p‐closed spaces and investigate their relationships with some other classes of topological spaces.
Julian Dontchev +2 more
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ℵ1‐directed inverse systems of continuous images of arcs
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 109-119, 2000., 2000 The main purpose of this paper is to prove that if X = {Xa, pab, A} is a usual ℵ1‐directed inverse system of continuous images of arcs with monotone bonding mappings, then X = limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.
Ivan Lončar
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A unified theory for weak separation properties
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 765-772, 2000., 2000 We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi‐normality (semi‐regularity), s‐normality (s‐regularity), feebly‐normality (feebly‐regularity), pre‐normality (pre‐regularity), and others. Certain aspects of theory are given by unified proof.
Mahide Küçük, İdris Zorlutuna
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Paracompactness with respect to an ideal
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 433-442, 1997., 1995 An ideal on a set X is a nonempty collection of subsets of X closed under the operations of subset and finite union. Given a topological space X and an ideal ℐ of subsets of X, X is defined to be ℐ‐paracompact if every open cover of the space admits a locally finite open refinement which is a cover for all of X except for a set in ℐ.
T. R. Hamlett +2 more
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Application on local discrete expansion
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 747-750, 1996., 1995 The process of changing a topology by some types of its local discrete expansion preserves s‐closeness, S‐closeness, semi‐compactness, semi‐Ti, semi‐Ri, i ∈ {0, 1, 2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.
M. E. Abd El-Monsef +2 more
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On star Rothberger spaces modulo an ideal
Applied General TopologyIn 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
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Perfect maps in compact (countably compact) spaces
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 773-776, 1995., 1993 In this paper, among other results, characterizations of perfect maps in compact Hausdorff(Fréchet, countably compact, Hausdorff) spaces are obtained.
G. L. Garg, Asha Goel
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Measures of Lindelof and separability in approach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 597-606, 1994., 1993 In this paper we introduce the notions of separability and Lindelöf in approach spaces and investigate their behaviour under products and subspaces.
R. Baekeland, R. Lowen
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International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 687-692, 1994., 1994 In this paper we study θ‐regularity and its relations to other topological properties. We show that the concepts of θ‐regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. Regular, strongly locally compact or paracompact spaces are θ‐regular.
Martin M. Kovár
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