Not signed in (Sign In)

Start a new discussion

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: polynomial functor

Bottom of Page

1 to 6 of 6

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 10th 2014

    added to polynomial functor the evident but previously missing remark why it is called a “polynomial”, here.

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeSep 12th 2016

    I added some remarks to polynomial functor: “being polynomial” is a mere property of a (strong) functor once its domain and codomain are identified with slices of an ambient category, cartesian transformations between polynomial functors can be identified on the polynomial data, and the bicategory of polynomial functors enhances to a double category.

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeSep 12th 2016

    I made what I thought were similar remarks at the section on polynomial endofunctors at tree, in particular about a double category structure. Could you please have a look, Mike?

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeSep 12th 2016

    Yes, this is all in Gambino-Kock, right? I guess maybe they don’t explicitly write down a version of the double category that contains only cartesian cells.

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeSep 12th 2016

    I don’t remember seeing Gambino-Kock; I just took a guess based on what was in Kock’s article referenced in tree.

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeSep 12th 2016

    here’s the link; the double category is in section 3.

1 to 6 of 6

  1.  
Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.

    • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)
 
Back to Discussions Top of Page