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New page dual space with redirect from dual basis.
Notice that there was already an entry dual vector space.
Generally I find we need to be careful with using the unadorned word “space” in entry titles. It means so many different things.
Oops, I thought that I checked for that … and it turns out that I even edited it before!
I’ve combined the pages.
@Toby: since you seemed to have accomplished the merge successfully, can you tell me the exact steps you took? In particular, avoiding the cache bug and so forth? (I asked you this over at the double negation thread as well.)
I have no idea how I avoided the cache bug; I don’t understand it at all. Otherwise, I answered at the other thread.
@Urs:
Generally I find we need to be careful with using the unadorned word “space” in entry titles. It means so many different things.
Normally I’d agree; or rather, I’d say that it should be used in entry titles only when those entries (at least potentially) cover the full generality (or when the entry is on a specific kind of space, of course). But here I don’t think that there’s any other meaning. (See also my remarks in the current Idea section.)
Mightn’t a Spanier-Whitehead dual also be called a “dual space”?
And then there are mirror dual Calabi-Yau spaces, and AdS/CFT dual spacetimes and so forth. There are just too many notions of “space” “duality” out there.
OK, I added a bit to the Idea section, but maybe somebody wants to create dual space to disambiguate? (I’ve written a lot of links lately to dual space from articles on Banach spaces, but those could be fixed.)
Ok, I created a brief disambiguation page dual space and tried to make most of the links originally pointing to this point to dual vector space.
Thanks, I changed a couple of others.
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