Can anyone tell me the origin &/or original applications of Smirnov's Deleted Sequence topology? (This is #64 in Steen & Seebach's Counterexamples in Topology.) Thanks.
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$\begingroup$ Smirnov Topology is nowadays known as K topology. $\endgroup$– user525763Feb 7, 2018 at 19:24
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The example appears already in Alexandroff and Hopf's Topologie (1935) in Chapter 1, section 1, number 4, Example 1. It served as an example of a Hausdorff non-regular space.
