Results 11 to 20 of about 58 (58)
Constructing Banaschewski compactification without Dedekind completeness axiom
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 69, Page 3799-3816, 2004., 2004 The main aim of this paper is to provide a construction of the Banaschewski compactification of a zero‐dimensional Hausdorff topological space as a structure space of a ring of ordered field‐valued continuous functions on the space, and thereby exhibit the independence of the construction from any completeness axiom for an ordered field. In the process
S. K. Acharyya +2 more
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T(α,β)‐spaces and the Wallman compactification
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3717-3735, 2004., 2004 Some new separation axioms are introduced and studied. We also deal with maps having an extension to a homeomorphism between the Wallman compactifications of their domains and ranges.
Karim Belaid, Othman Echi, Sami Lazaar
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Equivariant embeddings and compactifications of free G‐spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 1-14, 2003., 2003 For a compact Lie group G, we characterize free G‐spaces that admit free G‐compactifications. For such G‐spaces, a universal compact free G‐space of given weight and given dimension is constructed. It is shown that if G is finite, the n‐dimensional Menger free G‐compactum μ n is universal for all separable, metrizable free G‐spaces of dimension less ...
Natella Antonyan
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α‐fuzzy compactness in I‐topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2609-2617, 2003., 2003 Using a gradation of openness in a (Chang fuzzy) I‐topological space, we introduce degrees of compactness that we call α‐fuzzy compactness (where α belongs to the unit interval), so extending the concept of compactness due to C. L. Chang. We obtain a Baire category theorem for α‐locally compact spaces and construct a one‐point α‐fuzzy compactification ...
Valentín Gregori, Hans-peter A. Künzi
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Completion of a Cauchy space without the T2‐restriction on the space
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 163-172, 2000., 2000 A completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal property as well. The class of all Cauchy spaces with a special class of morphisms called s‐maps form a subcategory CHY′ of CHY. A completion functor is defined for this subcategory. The completion subcategory of CHY′ turns out to be
Nandita Rath
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International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 295-304, 2000., 2000 This paper gives a further development of p‐regular completion theory, including a study of p‐regular Reed completions, the role of diagonal axioms, and the relationship between p‐regular and p‐topological completions.
Darrell C. Kent, Jennifer Wig
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p‐topological Cauchy completions
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 497-509, 1999., 1999 The duality between “regular” and “topological” as convergence space properties extends in a natural way to the more general properties “p‐regular” and “p‐topological.” Since earlier papers have investigated regular, p‐regular, and topological Cauchy completions, we hereby initiate a study of p‐topological Cauchy completions.
J. Wig, D. C. Kent
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International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 659-665, 1999., 1999 First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures. Second, we give sufficient conditions for the expansion of a topological space by the sequential closure operator to be a Fréchet space and also a sufficient condition for a simple expansion of a ...
Woo Chorl Hong
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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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Cohomology, dimension and large Riemannian manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 633-636, 1997., 1997 This paper surveys recent results on dimension and cohomology of the Higson corona of uniformly contractable manifolds.
A. N. Dranishnikov
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