Metrics in locally compact groups
Metrizable approximations of semigroups
Metrization criteria for compact groups in terms of their dense subgroups
According to Comfort, Raczkowski and Trigos-Arrieta, a dense subgroup D of a compact abelian group G determines G if the restriction homomorphism Ĝ → D̂ of the dual groups is a topological isomorphism. We introduce four conditions on D that are necessary for it to determine G and we resolve the following question: If one of these conditions holds for every dense (or -dense) subgroup D of G, must G be metrizable? In particular, we prove (in ZFC) that a compact abelian group determined by all its...
Minimal actions of homeomorphism groups
Let X be a closed manifold of dimension 2 or higher or the Hilbert cube. Following Uspenskij one can consider the action of Homeo(X) equipped with the compact-open topology on , the space of maximal chains in , equipped with the Vietoris topology. We show that if one restricts the action to M ⊂ Φ, the space of maximal chains of continua, then the action is minimal but not transitive. Thus one shows that the action of Homeo(X) on , the universal minimal space of Homeo(X), is not transitive (improving...
Minimal and distal functions on semidirect products of groups II.
Minimal and distal functions on semidirect products of groups
Minimal bi-invariant Hilbert subspaces of distributions on nilpotent Lie groups.
Minimal dynamical systems for -bounded groups
Minimal ideals and cancellation in ßN.
Minimal non-totally minimal topological rings
Minimal Singularities in GLn.
Minimal Topological Algebras.
Minimal Topological Groups.
Mixed models for reductive dual pairs and Siegel domains for Hermitian symmetric spaces.
Mixing automorphisms of compact groups and a theorem of Schlickewei.
Mixing of all orders of Lie groups actions.
Mixing of all orders of Lie groups actions (Erratum).
Möbius inversion for the Bruhat ordering on a Weyl group
Modèles de Whittaker dute;générés pour des groupes p-adiques.
Models for quadratic algebras associated with second order superintegrable systems in 2D.