Certain types of paracompact actions

In this work, a definition of different types of paracompact action was presented, which are as nearly paracompact, compact, fully normal and metacompact. Sufficient conditions were given for the spaces to ensure the fulfillment of these definitions. It has also been proven that each type of paracom...

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Bibliographic Details
Main Authors: Jaber, Saad Mahdi, Kadhem, Hiyam Hassan
Format: Conference Proceeding
Language:English
Subjects:
Subspaces
Online Access:Get full text
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Summary:In this work, a definition of different types of paracompact action was presented, which are as nearly paracompact, compact, fully normal and metacompact. Sufficient conditions were given for the spaces to ensure the fulfillment of these definitions. It has also been proven that each type of paracompact action maps exists for subspaces when they exist between the same spaces. Finally, the conditions necessary were determined to prove a type of paracompat action for a space from another space associated with it.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0181744