# references in metrization of moore space

• Jun 8th 2010, 07:19 AM
fuzzy topology
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
• Jun 8th 2010, 04:03 PM
Drexel28
Quote:

Originally Posted by fuzzy topology
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.
• Jun 8th 2010, 09:44 PM
fuzzy topology
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