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 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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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 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).
  1. I added a sentence to fundamental group which contains a link to an example for a fundamental group of an affine scheme.
    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeAug 26th 2012
    • (edited Aug 26th 2012)

    I have added a bit more plus some links. This required writing a stub on pro-spaces as this was lacking and was needed in several other entries.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 3rd 2012

    I have expanded fundamental group: filled in all the little details that were omitted previously in a list of Definitions/Remarks/Propositions. But only up to and ex-cluding the section “Generalizations”. (This section needs to be connected with étale homotopy, eventually.)

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 3rd 2012

    Also added a comment pointing to the relation to first singular homology and then started an Examples-section.

    • CommentRowNumber5.
    • CommentAuthorTim_Porter
    • CommentTimeSep 3rd 2012
    • (edited Sep 3rd 2012)

    I have added stuff to algebraic fundamental group adapted from some notes of Tomás Szamuely, which I have given as reference. The entry is still stubby and I need to work out several points that are obscure (like what is Ω\Omega, but thought it better to get something down rather than to leave the entry very empty (I had promised myself 18 months ago to do something about this subject … better late than never. :-)) I also started a web page on Szamuely but this is just a link to his homepage (He looks to have some good sets of notes and other interesting stuff.)

    • CommentRowNumber6.
    • CommentAuthorTim_Porter
    • CommentTimeSep 3rd 2012

    I started a page on what Borceux and Janelidze call the Chevalley fundamental group. This is the algebraic / Grothendieck approach to the usual fundamental group, at least on spaces having a universal covering. They gave Chevalley’s book on Lie groups as the source.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeSep 3rd 2012

    Thanks, Tim. Maybe it would be better to post these announcements in the other thread, though.

    • CommentRowNumber8.
    • CommentAuthorTim_Porter
    • CommentTimeSep 3rd 2012

    Have done.