Results 1 to 9 of about 9 (9)
Compact and extremally disconnected spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1047-1056, 2004., 2004 Viglino defined a Hausdorff topological space to be C‐compact if each closed subset of the space is an H‐set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S‐set in the sense of Dickman and Krystock. Such spaces are called C‐s‐compact.
Bhamini M. P. Nayar
wiley +1 more source
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
wiley +1 more source
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
On strict and simple type extensions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 239-247, 1998., 1996 Let (Y, τ) be an extension of a space (X, τ′) · p ∈ Y, let . For U ∈ τ′, let . In 1964, Banaschweski introduced the strict extension Y#, and the simple extension Y+ of X (induced by (Y, τ)) having base {o(U) : U ∈ τ′} and , respectively. The extensions Y# and Y+ have been extensively used since then.
Mohan Tikoo
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 267-272, 1992., 1991 A property preserved under a semi‐homeomorphism is said to be a semi‐topological property. In the present paper we prove the following results: (1) A topological property P is semi‐topological if and only if the statement (X, 𝒯) has P if and only if (X, F(𝒯)) has P′ is true where F(𝒯) is the finest topology on X having the same family of semi‐open sets
Bhamini M. P. Nayar, S. P. Arya
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 507-512, 1990., 1989 An ideal on a set X is a nonempty collection of subsets of X closed under the operations of subset (heredity) and finite unions (additivity). Given a topological space (X, τ) an ideal ℐ on X and A⊆X, ψ(A) is defined as ⋃{U ∈ τ : U − A ∈ ℐ}. A topology, denoted τ*, finer than τ is generated by the basis {U − I : U ∈ τ, I ∈ ℐ}, and a topology, denoted 〈ψ(
T. R. Hamlett, David Rose
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On the extent of star countable spaces
Open Mathematics, 2011 Alas Ofelia +4 more
doaj +1 more source
On minimal Hausdorff and minimal Urysohn functions
Open Mathematics, 2011 Cammaroto Filippo +2 more
doaj +1 more source
Reflecting topological properties in continuous images
Open Mathematics, 2012 Tkachuk Vladimir
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