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Jun 12, 2018 at 19:19 vote accept Dominic van der Zypen
Jun 12, 2018 at 14:00 answer added Anonymous timeline score: 7
Jun 12, 2018 at 0:00 comment added Forever Mozart You might look into Max Pitz's papers: arxiv.org/search/?searchtype=author&query=Pitz%2C+M. He has done quite a bit of work with homeomorphism types of one-point deleted subsets. I think he uses the phrase "deck of cards" to describe (the homeomorphism classes of) all subspaces $X\setminus \{x\}$.
Jun 11, 2018 at 22:16 comment added Henno Brandsma Maybe call these spaces "puncturable" or "holeable" (or "punctured"?). Just thinking out loud..
Jun 11, 2018 at 19:38 history asked Dominic van der Zypen CC BY-SA 4.0