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 comma 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 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).
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 31st 2016

    Started topologically cyclic group, as needed at global family.

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 31st 2016
    • (edited Jul 31st 2016)

    (never mind)

    • CommentRowNumber3.
    • CommentAuthorfastlane69
    • CommentTimeAug 1st 2016
    • (edited Aug 1st 2016)

    Does a topological cyclic group retain the meaning of a cyclic group as having only one-generator?

    Or can we have, for example, a free group on 2-generators that is “topologically cyclic” if we can map it to a circle?

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeAug 1st 2016

    The one generator subgroup must be dense. Think of an irrational in /\mathbb{R}/\mathbb{Z} under addition.

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 1st 2016

    Or even any torus: if you pick a point in n/ n\mathbb{R}^n/\mathbb{Z}^n whose coordinates are sufficiently linearly independent, then the closure of the orbit under the \mathbb{Z}-action will be dense in the torus.