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    • Added the characterization of Comp as the unique non-trivial pretopos which is well-pointed, filtral and admits all set-indexed copowers of its terminal object from

      • Vincenzo Marra, Luca Reggio, A characterisation of the category of compact Hausdorff spaces, (arXiv:1808.09738)

      diff, v25, current

    • added to homotopy groups of spheres the table

      k= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ⋯
      πk(𝕊)= ℤ ℤ2 ℤ2 ℤ24 0 0 ℤ2 ℤ240 (ℤ2)2 (ℤ2)3 ℤ6 ℤ504 0 ℤ3 (ℤ2)2 ℤ480⊕ℤ2

    • Explained why the square of the finite power set functor is (or “can be made into”) the monad for Boolean algebras.

      diff, v14, current

    • the page action is also a mess. I have added a pointer to the somewhat more comprehensive module and am hereby moving the following discussion box from there to here:

      [ begin forwarded discussion ]

      +–{.query} I am wondering if we will need the notion of action which works in categories with product, i.e. G×X→X and so on. There is also an action of one Lie algebra on another (for instance in some definitions of crossed module of Lie algebra, where Aut is replaced by the Lie algebra of derivations. (a similar situation would seem to exist in various other categories where action is needed in a slightly wider context. I think most would be covered by an enriched setting but I am not sure.) Thoughts please.Tim

      Yes, I think certainly all those types of action should eventually be described somewhere, possibly on this page. -Mike

      Tim: I have added some of this above. There should be mention of actions of a monoid in a monoidal category on other objects, perhaps.

      Mac Lane, VII.4, only requires a monoidal category to define actions. – Uday =–

      [ end forwarded discussion ]

    • I added a bit to category of simplices, including the fact that the category of nondegenerate simplices is final and thus colimits can be computed using only that, and that the nerve of the category of simplices itself is colimit-preserving.

    • Create a stub. I will expand the list shortly.

      v1, current

    • starting a dedicated entry for the category of vector bundles with homomorphisms allowed to cover non-trivial base maps (while previously we only had VectBund(B) for fixed base B).

      For the moment the main point is to record the interesting cartesian- and tensor-monoidal structure (now here)

      v1, current

    • I will brush-up the entry homotopy hypothesis. But not right now, right now I have to run and do something else. But here is some leftover discussion that was sitting there, and which I have now removed from the entry and reproduce here, in order that we go and use it to make the entry better, but not clutter it up.

      (continued in next comment)

    • a category:reference-entry (“FGA” used to redirect to EGA)

      v1, current

    • starting a stub. Nothing here yet, but need to save.

      v1, current

    • Changed typo’d “pyschoaccoustics” to correct “psychoacoustics”.

      Anonymous

      diff, v16, current

    • I added a reference to a paper of mine

      Amnon Yekutieli

      diff, v48, current

    • Adjust the idea section. Representability is a property of a multicategory, rather than a construction on monoidal categories.

      diff, v13, current

    • I reorganized linearly distributive category by moving the long block of history down to the bottom, adding an “Idea” section and a description of how *-autonomous categories give rise to linearly distributive ones and linearly distributive ones give rise to polycategories. I also cross-linked the page better with polycategory and star-autonomous category.

    • A bare minimum, for the moment just in order to make the link work at all.

      (And leaving much room for disambiguation.)

      v1, current

    • added pointer to:

      removed the following ancient query box discussion:

      +–{.query} Left I could understand, but right? —Toby

      The way I rewrote it explains it. It is unfortunate that the Eilenberg-Watts theorem treated in Bass was using only right adjoint functors so later they dropped word right. – Zoran

      Thanks. —Toby =–

      diff, v12, current

    • added missing publication data to some references, and added this new reference:

      • D. Melnikov, A. Mironov, S. Mironov, A. Morozov, An. Morozov, A modular functor which is universal for quantum computation, Nucl. Phys. B926 (2018) 491-508 (arXiv:1703.00431)

      diff, v5, current

    • just for completeness, since I want to be able to link to this term

      v1, current

    • Describing the arrangements which have been made for funding of the nLab in collaboration with the Topos Institute. The page, linked to from the home page, is intended to be fairly general; specific requests for donations can be made elsewhere.

      v1, current

    • Added a couple of recent references in condensed matter physics.

      diff, v12, current

    • brief category:people-entry for hyperlinking references

      v1, current

    • brief category:people-entry for hyperlinking references

      v1, current

    • added publication data to

      and pointer to section 11.1 there for Kaehler structures as torsion-free U(n)-structures

      diff, v35, current

    • starting something on the concept introduced in

      • Sergei O. Ivanov, Roman Mikhailov: A higher limit approach to homology theories, Journal of Pure and Applied Algebra 219 6 (2015) 1915-1939 [arXiv:1309.4920, doi:10.1016/j.jpaa.2014.07.016]

      • Sergei O. Ivanov, Roman Mikhailov: Higher limits, homology theories and fr-codes, in: Combinatorial and Toric Homotopy, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore (2017) 229-261 [arXiv:1510.09044, doi:10.1142/9789813226579_0004]

      but for the moment there is little more than these references

      v1, current

    • Re-instantiating the entry announced here, with slight change to title and text.

      v1, current

    • fixed the statement of Example 5.2 (this example) by restricting it to 𝒞=sSet

      diff, v36, current

    • Zoran,

      I wanted to add a reference to holomorphic Chern-Simons theory, only to realize that the entry didn't exist yet. Didn't you recently write something about holomorphic CS? I can't find it right now...

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

      v1, current

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