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1. • CommentRowNumber1.
   • CommentAuthorHDB
   • CommentTimeApr 16th 2022
   • (edited Apr 16th 2022)
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   Author: HDB
   Format: MarkdownItexWhat exactly is the map defined in the first paragraph of [[cap+product]]? Can someone make it explicit? (And there is a typo (prodct) in the last paragraph, which I can‘t edit somehow.)

   What exactly is the map defined in the first paragraph of cap+product? Can someone make it explicit?

   (And there is a typo (prodct) in the last paragraph, which I can‘t edit somehow.)

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 17th 2022
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   Author: Dmitri Pavlov
   Format: MarkdownItexRe #1: The cap product is bilinear, it suffices to define the cap product of a p-simplex σ and a cochain dual to a (p+q)-simplex τ. The result is a q-simplex ρ given by the first (q+1) vertices of τ if the last (p+1) vertex of τ are equal to σ. Otherwise it is 0.

   Re #1: The cap product is bilinear, it suffices to define the cap product of a p-simplex σ and a cochain dual to a (p+q)-simplex τ. The result is a q-simplex ρ given by the first (q+1) vertices of τ if the last (p+1) vertex of τ are equal to σ. Otherwise it is 0.