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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- Jun 8th 2010, 06:19 AMfuzzy topologyreferences 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 - Jun 8th 2010, 03:03 PMDrexel28
What do you define a Moore space to be? A developable $\displaystyle T_3$ 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. - Jun 8th 2010, 08:44 PMfuzzy topologyThanks
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