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Feb 4 at 21:13 vote accept Robin Saunders
Feb 4 at 21:13 comment added Robin Saunders Thank you, this is a useful and interesting paper which I haven't seen before, perhaps because it is not on arXiv. It essentially answers my question: corollary 6.5 says that any $2^\omega$-based space is countably-based (the converse, which I knew, is proposition 4.4).
Feb 4 at 12:08 history answered Arno CC BY-SA 4.0