Results 31 to 40 of about 79 (77)
On the different kinds of separability of the space of Borel functions
Open Mathematics, 2018 In paper we prove that:
Osipov Alexander V.
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Some results on compact convergence semigroups defined by filters
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 153-157, 1998., 1996 In this paper the concept of convergence defined by filters is used and applied in the study of semigroups. Special emphasis is placed on compact convergence semigroups and their properties.
Phoebe Ho, Paul Plummer, Shing So
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International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 199-200, 1998., 1998 In this paper we give an embedding characterization of θ‐regularity using the Wallman‐type compactlfication. The productivity of θ‐regularity and a slight generalization of Nagami′s Product Theorem to non‐Hausdorff paracompact ∑‐spaces we obtain as a corollary.
Martin M. Kovár
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A note on some applications of semi‐open sets
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 205-207, 1998., 1996 The object of the present paper is to study the well known notions of semi‐closure, semiinterior, semi‐frontier and semi‐exterior of a set using the concept of semi‐open sets. A semi‐isolated point of a set is also defined and studied.
T. M. Nour
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On strong form of Arzela convergence
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 417-421, 1997., 1996 We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi‐uniform convergence. Furthermore, the introduced strong convergence is used for characterization of compactness and regularity of a topological space.
Janina Ewert
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Compactifying a convergence space with functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 657-666, 1996., 1995 A convergence space is a set together with a convergence structure. In this paper we discuss a method of constructing compactifications on a class of convergence spaces by use of functions.
Robert P. André
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One‐point compactification on convergence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 277-282, 1994., 1993 A convergence space is a set together with a notion of convergence of nets. It is well known how the one‐point compactification can be constructed on noncompact, locally compact topological spaces. In this paper, we discuss the construction of the one‐point compactification on noncompact convergence spaces and some of the properties of the one‐point ...
Shing S. So
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Balanced and closed-generated filters in frames [PDF]
, 2004 We introduce the notions of balanced filters and closed-generated filters in frames and use them to give a new characterisation of normality for frames, and hence, due to normality being a conservative property, a new characterisation of normality for ...
Dube, Themba
core
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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𝓜𝓝-convergence and lim-inf𝓜-convergence in partially ordered sets
Open Mathematics, 2018 In this paper, we first introduce the notion of 𝓜𝓝-convergence in posets as an unified form of O-convergence and O2-convergence. Then, by studying the fundamental properties of 𝓜𝓝-topology which is determined by 𝓜𝓝-convergence according to the standard ...
Sun Tao, Li Qingguo, Fan Nianbai
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