Not signed in

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

• Username
• Password
• Remember me

• Sign in using OpenID
  
  
• Remember me

• Forgot your password?
• Apply for membership

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 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 topological topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorperezl.alonso
   • CommentTimeJul 1st 2025
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexadded the adelic solenoid as an extension of $U(1)$ by $\widehat{\mathbb{Z}}$ along with references * Dinakar Ramakrishnan, Robert Valenza, *Fourier Analysis on Number Fields*. Graduate Texts in Mathematics 186, Springer-Verlag, New York, (1999). ([doi](https://doi.org/10.1007/978-1-4757-3085-2)). * Juan Manuel Burgos, Alberto Verjovsky. *Adelic solenoid I: Structure and topology* (2016). ([arXiv:1603.05676](https://arxiv.org/abs/1603.05676)). <a href="https://ncatlab.org/nlab/revision/diff/profinite+completion+of+the+integers/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/profinite+completion+of+the+integers/10">v10</a>, <a href="https://ncatlab.org/nlab/show/profinite+completion+of+the+integers">current</a>

   added the adelic solenoid as an extension of by along with references

   • Dinakar Ramakrishnan, Robert Valenza, Fourier Analysis on Number Fields. Graduate Texts in Mathematics 186, Springer-Verlag, New York, (1999). (doi).

   • Juan Manuel Burgos, Alberto Verjovsky. Adelic solenoid I: Structure and topology (2016). (arXiv:1603.05676).

   diff, v10, current