Results 21 to 30 of about 68 (68)
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
wiley +1 more source
s‐point finite refinable spaces
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 367-375, 1999., 1999 A space X is called s‐point finite refinable (ds‐point finite refinable) provided every open cover 𝒰 of X has an open refinement 𝒱 such that, for some (closed discrete) C⫅X, (i) for all nonempty V ∈ 𝒱, V∩C ≠ ∅ and (ii) for all a ∈ C the set (𝒱)a = {V ∈ 𝒱 : a ∈ V} is finite.
Sheldon W. Davis +2 more
wiley +1 more source
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
wiley +1 more source
Some results on [n,m]‐paracompact and [n,m]‐compact spaces
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 37-42, 1997., 1996 Let n and m be infinite cardinals with n ≤ m and n be a regular cardinal. We prove certain implications of [n, m]‐strongly paracompact, [n, m]‐paracompact and [n, m]‐metacompact spaces. Let X be [n, ∞]‐compact and Y be a [n, m]‐paracompact (resp. [n, ∞]‐paracompact), Pn‐space (resp. wPn‐space).
Hasan Z. Hdeib, Yusuf Ünlü
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Contra‐continuous functions and strongly S‐closed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 303-310, 1996., 1996 In 1989 Ganster and Reilly [6] introduced and studied the notion of LC‐continuous functions via the concept of locally closed sets. In this paper we consider a stronger form of LC‐continuity called contra‐continuity. We call a function f : (X, τ) → (Y, σ) contra‐continuous if the preimage of every open set is closed. A space (X, τ) is called strongly S‐
J. Dontchev
wiley +1 more source
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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International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 701-711, 1980., 1980 A study is made of the properties on X which characterize when Cπ(X) is a k‐space, where Cπ(X) is the space of real‐valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k‐space property are also considered.
R. A. McCoy
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The Lindelöf number greater than continuum is u-invariant [PDF]
, 2011 2000 Mathematics Subject Classification: 54C35, 54D20, 54C60.Two Tychonoff spaces X and Y are said to be l-equivalent (u-equivalent) if Cp(X) and Cp(Y) are linearly (uniformly) homeomorphic. N. V.
Arbit, A. V.
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Striking differences between ZF and ZF+ weak choice in view of metric spaces
, 2004 unavailable at this time...Mathematics Subject Classification (2000): 03E25, 54A25, 54C05, 54C05, 54C25, 54D20, 54E35 Quaestiones Mathematicae 25 (2002), 405 ...
Keremedis, Kyriakos +2 more
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Boundedness properties in function spaces
, 2018 Some boundedness properties of function spaces (considered as topological groups) are studied.Mathematics Subject Classification (2010): Primary: 54C35; Secondary: 54D20, 54H11.Keywords: Function spaces, ℵ0-bounded, M-bounded, H-bounded, R-bounded, σ ...
Kočinac, Ljubiša D.R., Holá, L'ubica
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