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Math Help - references in metrization of moore space

  1. #1
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    references in metrization of moore space

    Hello,
    I am now doin research in metrization of moore space, can any one guide me which books, journals should I use in my research.

    Thank you in advance
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by fuzzy topology View Post
    Hello,
    I am now doin research in metrization of moore space, can any one guide me which books, journals should I use in my research.

    Thank you in advance
    What do you define a Moore space to be? A developable T_3 space? You know they aren't always metrizable right (e.g. the Moore plane)?

    So you're trying to look for necessary and sufficient conditions for metrizability? I know that every locally compact and locally connected normal Moore space is metrizable, but that is merely sufficient.

    I would suggest looking in Jstor or "The Handbook of Set-Theoretic Topology". Maybe even ask the member Plato since he is very knowledgeable (his instructor actually may have been) R.L. Moore for which these spaces are named after.
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  3. #3
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    Thanks

    Thank you very much my instructor, I know that every metric space is metrizable but the converse is not true as you said, so the search for a metrization theorem became that of determining precisely which moore spaces are metrizable.
    I have general idea, and I will continue to get the complete picture. I will look in a book which you advice me to read. Thank you
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