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 definitions 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 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: real vector bundle

Bottom of Page

1 to 2 of 2

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2023

    started a subsection (here) on Atiyah Real vector bundles

    diff, v5, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 9th 2023
    • (edited Nov 9th 2023)

    Added to the example “real vector bundles as Real vector bundles” (here) a line saying that the equivalence continues to hold over varying base spaces.

    Then below that I added a Remark (here) that, in contrast, complex vector bundles over varying bases do \, not \, form a full subcategory of Real vector bundles over varing ℤ/2\mathbb{Z}/2-spaces — but they do form a full subcategory of “Real vector bundles equipped with complex structure”, where “complex structure” means endomorphisms (of Real vector bundles) squaring to −1-1.

    In this sense, the term “Real vector bundle” is quite apt.

    diff, v9, current

1 to 2 of 2

  1.