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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

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

      v1, current

    • I added a discussion of space in Kant’s Transcendental Aesthetics in Critique of Pure Reason.

      By the way, the translation of the quote from Kant in the section “On Aristotelian logic” seem a bit strange: I think the original German sentence was “Begriffe aber beziehen sich als Prädikate möglicher Urtheile auf irgend einen noch unbestimmten Gegenstand” (“But conceptions, as predicates of possible judgements, relate to some representation of a yet undetermined object.”).

      PS The automatic function to create this thread in the nforum did not word.

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

      v1, current

    • am starting a stub, for the moment just so as to have a place to record some references

      v1, current

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

      v1, current

    • brief category:people-entry for hyperlinking references

      v1, current

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

      Jon Awbrey

      v1, current

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

      Anonymous

      v1, current

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

      Jan Głowacki

      v1, current

    • starting something. Not done yet, but need to save

      v1, current

    • needed a minimum here, for satisfying links

      v1, current

    • I created the page

      with some discussion and references on the various triangulated categories associated to a scheme (e.g. bounded derived category of coherent sheaves, triangulated category of perfect complexes).

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

      v1, current

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

      v1, current

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

      v1, current

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

      v1, current

    • I’ve added that ’\bigcirc-connected type’ is the preferred term. Probably could do with renaming the page, but does ’connected type’ work by itself?

      diff, v10, current

    • Since Felix has changed surname, I’ve changed the name of this page.

      diff, v7, current

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

      v1, current

    • I have split morphism of sites off from site, and in the process made bold to change the definition to the one I think is inarguably correct, using covering-flatness rather than representable-flatness (which is equivalent in case the sites have finite limits and subcanonical topologies). I made corresponding changes to the statements of the theorems relating morphisms of sites to geometric morphisms, but I don’t have the time or energy to change the proofs, so I left them as-is with pointers to my paper for proofs in the general case. It would be nice to have proofs of these theorems in the general case that don’t require the reader to understand κ\kappa-ary exact completion for general κ\kappa, but I can’t think when I might have time to write out such proofs in the foreseeable future myself.

    • I thought this concept deserved at least a stub with definition.

      v1, current

    • added pointer to today’s

      • Domenec Espriu, Alisa Katanaeva, Effects of bulk symmetry breaking on AdS/QCD predictions (arXiv:2001.08723)

      diff, v5, current

    • a stub, for the moment just for satisfying links

      v1, current

    • moved the discussion of the Lie algebra 𝔰𝔲(2)\mathfrak{su}(2) out of the middle of “Properties – General” into its own subsection “Properties – Lie algebra”.

      Will copy this also over to su(2)

      diff, v18, current

    • a stub, for the moment just to satisfy links

      v1, current