Lindelof With Respect to an Ideal


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New Zealand Journal of Mathematics

Vol. 42, (2012), Pages 115-120

T. R. Hamlett

Department of Mathematical, Computer, and Information Sciences,

Oklahoma Christian University,

Box 11000, Oklahoma City,

Ok 73136,


Abstract We define Lindelof with respect to an ideal and investigate basic properties of the concept, its relation to known concepts,and its preservation by functions, subspaces, pre-images, and products.

Keywords Lindelof, weakly Lindelof, ideal, codense ideal, continuous function, open map, closed map, perfect map.

Classification (MSC2000) 54D20, 54D30.

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