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    • For now, a place to try putting some typing rules for proto CLF.

      v1, current

    • Created an entry for this geometric theory.

      v1, current

    • [deleted]

    • [deleted]

    • I gave Sets for Mathematics a category:reference entry and linked to it from ETCS and from set theory, to start with.

      David Corfield kindly alerts me, which I had missed before, that appendix C.1 there has a clear statement of Lawvere’s proposal from 94 of how to think of categorical logic as formalizing objective and subjective logic (to which enty I have now added the relevant quotes).

    • Creating the page, which I intend to use at Lack fibration. If I have not made a mistake, this is a 2-groupoid model of the 2-truncation of the 2-sphere, and I have added remarks of this nature to the page, along with a ’computation’ of π 2(S 2)\pi_{2}\left(S^{2}\right) using this model.

      v1, current

    • I am creating this entry to resolve a dangling entry in the Lorentz group entry.

      Avi Levy

      v1, current

    • Creating page to satisfy a link.

      v1, current

    • Make the hyperlink point to the topologist, not the statistician.

      diff, v3, current

    • I have expaned a bit at Ab: added a section with some basics on direct sums and tensor products and then slightly expanded on the monoidal category structures.

    • just testing latex code since there’s no way to preview in the nLab editor Please get a preview button and a way to debug latex code it literally happens everytime I try to edit

      δ i n+1δ j n=δ j+1 n+1δ i n ij σ j nσ i n+1=σ i nσ j+1 n+1 ij \array{ \delta_i^{n+1} \circ \delta_j^n = \delta_{j+1}^{n+1}\circ \delta_i^n & \qquad i \leq j \\ \sigma_j^n \circ \sigma_i^{n+1} = \sigma_i^n \circ \sigma_{j+1}^{n+1} & \qquad i \leq j }
    • [deleted]

    • [deleted]

    • Added overview of a different notion common in representation theory of non-commutative algebras. This is my first nLab edit; please excuse (and fix) any errors of house style or formatting.

      David Speyer

      diff, v15, current

    • I have spelled out the proof (here) of the claim from

      • Michel Dubois-Violette, Ivan Todorov, Exceptional quantum geometry and particle physics II (arXiv:1808.08110)

      that the stabilizer in the automorphism group F 4F_4 of the octonionic Albert algebra “of a 4d Minkowski subspace” happens to be the exact gauge group of the standard model of particle physics.

      diff, v9, current

    • Page created, but author did not leave any comments.

      Yuxi Liu

      v1, current

    • Page created, but author did not leave any comments.

      v1, current

    • I am starting an entry spontaneously broken symmetry. But so far no conceptualization or anything, just the most basic example for sponatenously broken global symmetry.

    • added publication data to these items:

      • David Carchedi, Étale Stacks as Prolongations, Advances in Mathematics Volume 352, 20 August 2019, Pages 56-132 (arXiv:1212.2282)

      • {#Carchedi15} David Carchedi, On The Homotopy Type of Higher Orbifolds and Haefliger Classifying Spaces, Advances of Mathematics, Volume 294, 2016, Pages 756-818 (arXiv:1504.02394)

      diff, v9, current

    • Page created, but author did not leave any comments.

      v1, current

    • a stub, for the moment just so as to have a place for recording references

      v1, current

    • Page created, but author did not leave any comments.

      v1, current

    • started Brauer group, collecting some references on the statement that/when Br(X)H et 2(X,𝔾 m) torBr(X) \simeq H^2_{et}(X, \mathbb{G}_m)_{tor} and moved notes from a talk by David Gepner on \infty-Brauer groups to there.

    • created Duskin nerve.

      Would like to cite page and verse of Duskin’s artcile for where he defines something like the free bicatgeory on a simplex, but don’t appear to have the patience to dig through the document right now.