I-Lindelof spaces
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 class...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204307131 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |