What does diffeological mean?
Diffeological means (mathematics) Having a diffeology..
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Pronunciation varies by accent · adjective
(mathematics) Having a diffeology..
We apply this notion to make some observation on subspaces which split off as smooth direct summands (providing examples which illustrate that not all subspaces do), and then to show that the diffeological dual of a finite-dimensional diffeological vector space always has the standard diffeology and in particular, any pseudo-metric on the initial space induces, in the obvious way, a smooth scalar product on the dual..
Use diffeological when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Diffeological means (mathematics) Having a diffeology..
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We apply this notion to make some observation on subspaces which split off as smooth direct summands (providing examples which illustrate that not all subspaces do), and then to show that the diffeological dual of a finite-dimensional diffeological vector space always has the standard diffeology and in particular, any pseudo-metric on the initial space induces, in the obvious way, a smooth scalar product on the dual..
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