scholarly journals Extension dimension for paracompact spaces

2004 ◽  
Vol 140 (2-3) ◽  
pp. 227-243 ◽  
Author(s):  
Jerzy Dydak
Keyword(s):  
Extension Dimension ◽  
Paracompact Spaces

scholarly journals Universal metric spaces and extension dimension

2001 ◽  
Vol 113 (1-3) ◽  
pp. 23-27 ◽  
Author(s):  
Alex Chigogidze ◽  
Vesko Valov
Keyword(s):  
Metric Spaces ◽  
Extension Dimension

scholarly journals On D-Paracompact spaces

1985 ◽  
Vol 20 (1) ◽  
pp. 17-27 ◽  
Author(s):  
Harald Brandenburg
Keyword(s):  
Paracompact Spaces

scholarly journals Onθ-regular spaces

1994 ◽  
Vol 17 (4) ◽  
pp. 687-692 ◽  
Author(s):  
Martin M. Kovár
Keyword(s):  
Regular Space ◽  
Topological Properties ◽  
Locally Compact ◽  
Basic Properties ◽  
Paracompact Space ◽  
Paracompact Spaces

In this paper we studyθ-regularity and its relations to other topological properties. We show that the concepts ofθ-regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. Regular, strongly locally compact or paracompact spaces areθ-regular. We discuss the problem when a (countably)θ-regular space is regular, strongly locally compact, compact, or paracompact. We also study some basic properties of subspaces of aθ-regular space. Some applications: A space is paracompact iff the space is countablyθ-regular and semiparacompact. A generalizedFσ-subspace of a paracompact space is paracompact iff the subspace is countablyθ-regular.

scholarly journals ON THE NORMAL BASIS THEOREMS AND THE EXTENSION DIMENSION

1964 ◽  
Vol 18 (1-2) ◽  
pp. 81-88 ◽  
Author(s):  
Kazuo Kishimoto ◽  
Takesi Onodera ◽  
and Hisao TOMINAGA
Keyword(s):  
Normal Basis ◽  
Extension Dimension

scholarly journals On nearly S-paracompactness

2021 ◽  
Vol 20 ◽  
pp. 353-360
Author(s):  
José Sanabria ◽  
Osmin Ferrer ◽  
Clara Blanco
Keyword(s):  
Topological Product ◽  
Paracompact Spaces

The objective of the present work is to introduce the notion of α-nearly S-paracompact subset, which is closely related to α-nearly paracompact and αS-paracompact subsets. Moreover, we study the invariance under direct and inverse images of open, perfect and regular perfect functions of the nearly S-paracompact spaces [?] and analyze the behavior of such spaces through the sum and topological product

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