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nLab > Latest Changes: enriched category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeOct 17th 2017

    I added two recent examples of enriched categories: tangent bundle categories and Lawvere theories.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeOct 17th 2017

    Does the Lawvere theory example refer to enriched Lawvere theory?

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 17th 2017
    • (edited Oct 17th 2017)

    I imagine Mike means the last additions to the references, the final two by Richard Garner and John Power.

    Lawvere theories can be represented as enriched categories as well; see there for details.

    at enriched category could be clearer. Maybe an anchor to those references.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeOct 17th 2017

    Oh okay; thanks David. I put those references (with anchors) directly into enriched category.

    • CommentRowNumber5.
    • CommentAuthorMike Shulman
    • CommentTimeOct 17th 2017

    Thanks! Sorry for being lazy.

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 26th 2021

    The reverse link.

    diff, v97, current

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 26th 2021

    Added a note on generalized algebraic theories.

    diff, v98, current

    • CommentRowNumber9.
    • CommentAuthorvarkor
    • CommentTimeAug 20th 2021

    Add reference to an original account of enriched categories by Maranda.

    diff, v100, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeAug 20th 2021

    Thanks.

    The first Google hit gives a pdf-copy (pdf), so I have included that.

    diff, v101, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2021

    added pointer to:

    diff, v102, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2021

    added pointer to:

    diff, v103, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeAug 30th 2021

    added (here) mentioning of the example of strict (2,1)-categories.

    diff, v104, current

    • CommentRowNumber14.
    • CommentAuthorvarkor
    • CommentTimeSep 19th 2021

    Cite first reference to categories enriched in a multicategory.

    diff, v105, current

    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2021

    Thanks. Let’s add hyperlinks to references, so that one can actually go and see them. I have expanded it out (here) like this:

    • Joachim Lambek, Deductive Systems and Categories II: Standard constructions and closed categories, In: Peter Hilton (eds.) Category Theory, Homology Theory and their Applications I, Lecture Notes in Mathematics 86 Springer 1969 (doi:10.1007/BFb0079385, pdf)

    Am also copying this to Joachim Lambek.

    diff, v106, current

    • CommentRowNumber16.
    • CommentAuthorvarkor
    • CommentTimeSep 19th 2021

    Add reference to Bénabou’s Catégories relatives.

    diff, v107, current

  17. Added link to Bénabou original paper

    Anonymous

    diff, v110, current

    • CommentRowNumber18.
    • CommentAuthorUrs
    • CommentTimeMay 23rd 2022

    I have copied that reference also to Selected writings at Jean Bénabou

    • CommentRowNumber19.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 28th 2022

    Added redirection from enriched.

    diff, v112, current

    • CommentRowNumber20.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 15th 2022

    Started a section on the tensor product of V(\mathcal{X}_i, \mathcal{O}_{\mathcal{X_V-enriched categories for VV a symmetric monoidal category.

    diff, v113, current

    • CommentRowNumber21.
    • CommentAuthorvarkor
    • CommentTimeOct 5th 2022

    Added early reference to the idea of an enriched category.

    diff, v114, current

    • CommentRowNumber22.
    • CommentAuthorvarkor
    • CommentTimeOct 5th 2022

    Added early reference to Kelly.

    diff, v114, current

    • CommentRowNumber23.
    • CommentAuthorvarkor
    • CommentTimeDec 17th 2022
    • (edited Dec 17th 2022)

    Mention polyads.

    Edit: I see this is already mentioned on category enriched in a bicategory, but it probably doesn’t hurt to mention it here too.

    diff, v115, current

    • CommentRowNumber24.
    • CommentAuthorvarkor
    • CommentTimeDec 18th 2022

    Briefly mention enrichment in a closed category and a skew-monoidal category, without definitions.

    diff, v116, current

    • CommentRowNumber25.
    • CommentAuthorvarkor
    • CommentTimeMar 9th 2023

    Cite Linton’s autonomous categories.

    diff, v117, current

    • CommentRowNumber26.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2023

    I am removing the redirects for enriched groupoid in order to give this a stand-alone entry

    diff, v118, current

    • CommentRowNumber27.
    • CommentAuthorUrs
    • CommentTimeApr 29th 2023

    added DOI-link for this item:

    diff, v119, current

    • CommentRowNumber28.
    • CommentAuthorTodd_Trimble
    • CommentTimeJun 1st 2023

    Added some words and phrases surrounding the expression “base of enrichment” (for which I will create a separate page, but pointing to this one).

    diff, v122, current

    • CommentRowNumber29.
    • CommentAuthorUrs
    • CommentTimeJun 2nd 2023

    added DOI-link to this item:

    diff, v124, current

    • CommentRowNumber30.
    • CommentAuthorTom Mainiero
    • CommentTimeAug 2nd 2023

    I added an explicit reference to the delooping of a monoidal category with appropriate rewording.

    diff, v125, current

    • CommentRowNumber31.
    • CommentAuthorvarkor
    • CommentTimeDec 9th 2023

1 to 31 of 31

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