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  • 1975-1979  (1)
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    Electronic Resource
    Electronic Resource
    Some generalizations of Lindelöf and paracompact spaces (1975)
    Springer
    Monatshefte für Mathematik 79 (1975), S. 131-137 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper notions ofm-Lindelöf, meta-m-Lindelöf, para-m-Lindelöf andm-closure preserving property are defined, wherem is any infinite cardinal. The main results are the following: (a) A topological space ism-Lindelöf if and only if it is meta-m-Lindelöf and it ism-Lindelöf in the sense of complete accumulation point. (b) A regular topological space is paracompact if and only if it is para-m-Lindelöf and it hasm-closure preserving property for somem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01585669
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