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1. • CommentRowNumber1.
   • CommentAuthorPaoloPerrone
   • CommentTimeMar 29th 2017
   • (edited Mar 29th 2017)
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexCan we view an integral somehow as transfinite composition of "small" arrows, in a rigorous (but possibly nonstandard) way? For example, if we view a real 1-form as a functor with values in $B\mathbb{R}$, is its integration along a curve a transfinite composition of its values at all the tangent vectors of the curve? I don't know if the question is clear enough, in case it isn't, feel free to ask. (It may also be that none of this makes any sense.)

   Can we view an integral somehow as transfinite composition of “small” arrows, in a rigorous (but possibly nonstandard) way?

   For example, if we view a real 1-form as a functor with values in $B\mathbb{R}$, is its integration along a curve a transfinite composition of its values at all the tangent vectors of the curve?

   I don’t know if the question is clear enough, in case it isn’t, feel free to ask. (It may also be that none of this makes any sense.)