I -Lindelof spaces

Khalid Al-Zoubi and Bassam Al-Nashef

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-7

Abstract:

We define a space ( X , T ) to be I -Lindelof if every cover 𝒜 of X by regular closedsubsetsof the space ( X , T ) contains a countable subfamily 𝒜 ′ suchthat X = ∪ { int ( A ) : A ∈ A ′ } . We provide several characterizations of I -Lindelofspaces and relate them to some other previously known classes of spaces, for example, rc-Lindelof, nearly Lindelof, and so forth. Our study here of I -Lindelofspaces also deals with operations on I -Lindelof spaces and, in its last part, investigates images and inverseimagesof I -Lindelofspacesundersome consideredtypesof functions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:173213

DOI: 10.1155/S0161171204307131

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