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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 15th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[convenient vector space]] a Properties-section mentioning their embedding into the [[Cahiers topos]], and added the reference by Kock where this is proven.

   added to convenient vector space a Properties-section mentioning their embedding into the Cahiers topos, and added the reference by Kock where this is proven.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 15th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded two examples and a property

   added two examples and a property

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 17th 2017
   • (edited Oct 17th 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI always wondered regarding the theorem of [Kock 86](https://ncatlab.org/nlab/show/convenient+vector+space#Kock86), [Kock-Reyes 86](https://ncatlab.org/nlab/show/convenient+vector+space#KockReyes86) that [[convenient vector spaces]] are fully faithful in the [[Cahiers topos]] whether this really has anything to do with infinitesimals detecting structure of CVSs, or whether convenient vector spaces should not already be fully faithful in [[smooth sets]] and thus in fact in [[diffeological spaces]]. I now see that this is indeed stated later in [Kock-Reyes 04, p. 5](https://ncatlab.org/nlab/show/convenient+vector+space#KockReyes04), so I added that pointer.

   I always wondered regarding the theorem of Kock 86, Kock-Reyes 86 that convenient vector spaces are fully faithful in the Cahiers topos whether this really has anything to do with infinitesimals detecting structure of CVSs, or whether convenient vector spaces should not already be fully faithful in smooth sets and thus in fact in diffeological spaces. I now see that this is indeed stated later in Kock-Reyes 04, p. 5, so I added that pointer.