A note on covering dimension of paracompact spaces

1975 ◽  
Vol 106 (1) ◽  
pp. 305-313 ◽  
Author(s):  
J. Mogyorosy
Order ◽  
2021 ◽  
Author(s):  
T. Dube ◽  
D. Georgiou ◽  
A. Megaritis ◽  
I. Naidoo ◽  
F. Sereti
Keyword(s):  

1954 ◽  
Vol 5 (6) ◽  
pp. 1001
Author(s):  
Ernest Michael
Keyword(s):  

1969 ◽  
Vol s2-1 (1) ◽  
pp. 505-508 ◽  
Author(s):  
D. W. Bass

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

2016 ◽  
Vol 149 (1) ◽  
pp. 50-57 ◽  
Author(s):  
M. M. Arar
Keyword(s):  

1994 ◽  
Vol 17 (4) ◽  
pp. 687-692 ◽  
Author(s):  
Martin M. Kovár

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.


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

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


1970 ◽  
Vol 46 (2) ◽  
pp. 134-137
Author(s):  
Yoshikazu Yasui
Keyword(s):  

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