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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeOct 5th 2016
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   Author: Mike Shulman
   Format: MarkdownItexIs there a name for sheaves of sets on the merely topological version of [[CartSp]]? (sheaves of $\infty$-groupoids being [[Euclidean-topological infinity-groupoids]], and sheaves of sets on the smooth version of [[CartSp]] being [[diffeological spaces]])

   Is there a name for sheaves of sets on the merely topological version of CartSp? (sheaves of $\infty$-groupoids being Euclidean-topological infinity-groupoids, and sheaves of sets on the smooth version of CartSp being diffeological spaces)

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 5th 2016
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   Author: Urs
   Format: MarkdownItexI haven't used a name for it before. If one is not worried about being overly precise, then "continuous sets" would seem to convey the idea best. Maybe "Euclidean-continuous sets"?

   I haven’t used a name for it before. If one is not worried about being overly precise, then “continuous sets” would seem to convey the idea best. Maybe “Euclidean-continuous sets”?

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeOct 5th 2016
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   Author: Mike Shulman
   Format: MarkdownItexHmm, not bad. I'm surprised no one has given them a name before, though; they seem like an obviously natural thing.

   Hmm, not bad. I’m surprised no one has given them a name before, though; they seem like an obviously natural thing.

4. • CommentRowNumber4.
   • CommentAuthorDavidRoberts
   • CommentTimeOct 6th 2016
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   Author: DavidRoberts
   Format: MarkdownItexIs there a name particularly associated with topological groupoids of that nature? Or topological manifolds? I'm thinking foliation theory, for instance. Then one could, at a pinch, use someone's name. But that's not ideal, as people have pointed out.

   Is there a name particularly associated with topological groupoids of that nature? Or topological manifolds? I’m thinking foliation theory, for instance. Then one could, at a pinch, use someone’s name. But that’s not ideal, as people have pointed out.