Results 21 to 30 of about 58 (58)
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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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 199-202, 1992., 1991 Necessary and sufficient conditions are given for the equivalence of the Nachbin and Wallman‐ordered compactification of an ordered plane.
Margaret A. Gamon, D. C. Kent
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International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 325-338, 1991., 1990 Separation properties of a lattice of subsets of an arbitrary set or separation properties between a pair of such lattices have strong implications on the associated lattice regular measures and conversely. A number of such relationships are investigated and applications given to topological lattices in a topological space.
Mabel Szeto
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Separation properties of the Wallman ordered compactification
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 209-221, 1990., 1990 The Wallman ordered compactification ω0X of a topological ordered space X is T2‐ordered (and hence equivalent to the Stone‐Čech ordered compactification) iff X is a T4‐ordered c‐space. In particular, these two ordered compactifications are equivalent when X is n dimensional Euclidean space iff n ≤ 2.
D. C. Kent, T. A. Richmond
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The Smirnov compactification as a quotient space of the Stone‐Čech compactification
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 503-506, 1988., 1987 For a separated proximity space, a decomposition of the Stone‐Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities.
T. B. M. McMaster
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A topological property of β(N)
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 713-717, 1980., 1980 In this paper we prove that the Stone‐Cech‐compactification of the natural numbers does not admit a countable infinite decomposition into subsets homeomorphic to each other and to the said compactification.
Anastase Nakassis
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A new ordered compactification
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 117-124, 1993.
D. C. Kent, T. A. Richmond
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Totally disconnected compactifications
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 653-656, 1993.
Parfeny P. Saworotnow
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Completion of probabilistic uniform limit spaces
, 2004 In this article completions of special probabilistic semiuniform convergence spaces are considered. It turns out that every probabilitic Cauchy space under a given t-norm T (triangular norm) has a completion which, in the special case of probabilistic ...
Nusser, Harald
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