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nLab > Latest Changes: Parametrized Higher Category Theory and Higher Algebra

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 3rd 2018

    Added Clark’s comment that many of their bases are EI (∞,1)-categories. I guess many of these are in addition inverse EI (∞,1)-categories.

    Is a stratification always well-founded?

    diff, v10, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2018
    • (edited Jul 5th 2018)

    I have slightly expanded the text for clarification, added hyperlinks, gave the list of examples an item numbering, fixed the formatting of the references, undid the “due to Barwick and some unnamed others”-style

    Looking again at the intro article (here), and remembering that Clark worries about the future of homotopy theory (here) I have the thought that it is unwise to refer to strict fixed point sets as the “honest” ones, thus leaving the reader to conclude that homotopy theory provides the dishonest version of concepts.

    diff, v11, current

  3. I added a reference to the second Exposé:

    • Jay Shah, Parametrized higher category theory and higher algebra: Exposé II - Indexed homotopy limits and colimits, (arXiv:1809.05892)

    This is largely “indexed (∞,1)-category theory” in the sense Mike suggested.

    Anonymous

    diff, v13, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 18th 2018

    That was me.

  5. Added many references to papers since the Barwick-et all group mostly stopped

    Natalie Stewart

    diff, v15, current

  6. Factorization homology references

    Natalie Stewart

    diff, v15, current

  7. Added a cross reference to equivariant symmetric monoidal category

    Natalie Stewart

    diff, v15, current

  8. Adding a page for orbital cats

    Natalie Stewart

    diff, v17, current

1 to 8 of 8

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