Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

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 finite 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 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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: VectBund

Bottom of Page

1 to 3 of 3

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 21st 2022
    • (edited Nov 21st 2022)

    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 BB).

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

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 5th 2023
    • (edited Apr 5th 2023)

    added (here) a section “Properties — Distributive monoidal structure” which spells out the elementary argument that (Vect Set,⊔,⊠)(Vect_{Set}, \sqcup, \boxtimes) is distributive monoidal (a verbatim copy of the same few paragraphs which I just added at distributive monoidal category, announed there)

    also added (here) a further subsection “Properties — Amalgamation of monoidal and parameter structures” which is meant to be experimental for the moment (I left a disclaimer “under construction”).

    The point of this last subsection I discuss in another thread: here.

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 17th 2023

    added a line (here) on the bireflective inclusion of zero-bundles

    diff, v7, current

1 to 3 of 3

  1.