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
Are Polish space and LCCB space related?
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general-topology
probability-theory
descriptive-set-theory
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0What is a LCCB? – 2012-07-08
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0Probably Locally Compact with a Countable Base – 2012-07-08
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0yes, sorry just added it. – 2012-07-08
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0Did you mean to ask if a locally compact second-countable metrizable space is neccessarily Polish? – 2012-07-09
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0By 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