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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?2012-07-08
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    Probably Locally Compact with a Countable Base2012-07-08
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    yes, sorry just added it.2012-07-08
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    Did you mean to ask if a locally compact second-countable metrizable space is neccessarily Polish?2012-07-09
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    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.2012-07-09

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