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 $\displaystyle T_3$ 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.
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