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Jun 22, 2015 at 15:33 comment added Joseph Van Name An Alexandrov space usually refers to a space such that the intersection of arbitrarily many open sets is open. This is a weaker property than saying that every open set is clopen. In fact, the spaces where every open set is clopen are precisely the spaces whose $T_{0}$-reflection is discrete.
Jun 22, 2015 at 8:44 history answered Dominic van der Zypen CC BY-SA 3.0