In topology, spaces can be classified as: regular – normal – completely normal – perfectly normal.
Are we just bad (as always) at naming things, or are the topologists hiding something? ”Keep moving… this is a perfectly normal space… nothing to see here…”
@petrilaarne these names in particular always struck me as very poorly-motivated. all of them are variants of "does what I mean" instead of saying which property they really mean
@migratory Yeah, I could list three completely separate meanings for both ”regular” and ”normal” in 30 seconds, without really trying. These two are maybe the most overloaded words in maths.
They are pretty useless too:
• Everyday numbers are not normal (in number theory sense)
• Is the real line a regular, normal, or perfectly normal space, or maybe all of them?
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