Results 11 to 20 of about 37 (37)

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, Elise M. Grabner, Gray C. Grabner   +2 more
wiley   +1 more source

A remark on Θ‐regular spaces

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
wiley   +1 more source

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

On θ‐regular spaces

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
wiley   +1 more source

k‐space function spaces

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
wiley   +1 more source

Products with a metric factor

Topology and Its Applications, 1975
Mary Ellen Rüdin
exaly  

Orthocompactness and strong Čech completeness in Moore spaces

Duke Mathematical Journal, 1972
Peter Fletcher
exaly  

A normal hereditarily separable non-Lindelöf space

Illinois Journal of Mathematics, 1972
Mary Ellen Rüdin
exaly