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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 1st 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexAdded this paragraph to the Idea-section: > While, hence, presheaves are just [[functors]] (on [[small categories]]), one says "presheaf" to indicate a specific perspective or interest, namely interest in the _[[sheafification]]_ of the functor/presheaf, or at least interest in the [[functor category]] as a [[topos]] (the [[presheaf topos]]). Hence "presheaf" is a [[concept with an attitude]]. <a href="https://ncatlab.org/nlab/revision/diff/presheaf/52">diff</a>, <a href="https://ncatlab.org/nlab/revision/presheaf/52">v52</a>, <a href="https://ncatlab.org/nlab/show/presheaf">current</a>

   Added this paragraph to the Idea-section:

   While, hence, presheaves are just functors (on small categories), one says “presheaf” to indicate a specific perspective or interest, namely interest in the sheafification of the functor/presheaf, or at least interest in the functor category as a topos (the presheaf topos). Hence “presheaf” is a concept with an attitude.

   diff, v52, current