On hereditarily Lindelöf spaces

This paper considers the question of when a space with the property that each discrete subspace is countable is hereditarily Lindelbölf. The question is answered affirmatively for the class of ROP spaces and for the class of hereditarily meta-Lindelöf spaces. A characterization of hereditarily Linde...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 1980-06, Vol.21 (3), p.357-362
Main Authors: Reilly, I. L., Vamanamurthy, M. K.
Format: Article
Language:English
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Summary:This paper considers the question of when a space with the property that each discrete subspace is countable is hereditarily Lindelbölf. The question is answered affirmatively for the class of ROP spaces and for the class of hereditarily meta-Lindelöf spaces. A characterization of hereditarily Lindelöf spaces in terms of countable subspaces is given.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700006213