On strongly uniformly paracompact spaces and mappings

2021 ◽  
Author(s):  
Meerim Zhanakunova ◽  
Bekbolot Kanetov
Keyword(s):  
Paracompact Spaces

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 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

Sum Theorems for Countably Paracompact Spaces

1973 ◽  
Vol 25 (4) ◽  
pp. 706-711
Author(s):  
Henry Potoczny
Keyword(s):  
Open Cover ◽  
Equivalent Formulation ◽  
Countably Paracompact ◽  
Definition Of ◽  
Paracompact Spaces ◽  
Countable Paracompactness

In this paper, we extend the class of spaces to which the Σ and β theorems of Hodel apply, as well as the sum and subset theorems of [2]. Instead of the open cover definition of countable paracompactness, we utilize an equivalent formulation of countable paracompactness, due to Ishikawa [3].

scholarly journals A note on paracompact spaces

1952 ◽  
Vol 4 (1) ◽  
pp. 88-92
Author(s):  
Hiroshi Miyazaki
Keyword(s):  
Paracompact Spaces
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