# Are Polish space and LCCB space related?

It seems these spaces are the most useful ones for doing probabilities. Are LCCB (locally compact with countable basis) somewhat more general spaces that when endowed with a metric become Polish? I think I once knew the answer to this question. Thanks

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What is a LCCB? –  William Jul 8 '12 at 23:55
Probably Locally Compact with a Countable Base –  ncmathsadist Jul 8 '12 at 23:56
yes, sorry just added it. –  solojazz Jul 8 '12 at 23:57
Did you mean to ask if a locally compact second-countable metrizable space is neccessarily Polish? –  tomasz Jul 9 '12 at 2:36
By locally compact with countable basis, do you mean sigma-locally-compact ? if yes, the space would have lindelöf property, and if it is endowed with a metric, it would be separable. –  saposcat Jul 9 '12 at 3:23