Growth and homogeneity of matchbox manifolds

DOI10.1016/j.indag.2016.11.007zbMath1356.37028arXiv1602.00784OpenAlexW2963147185MaRDI QIDQ505057

Jessica Dyer, O. V. Lukina, Steven E. Hurder

Publication date: 18 January 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00784

zbMATH Keywords

regularityhomogeneitygroup chainsgrowth of leavesnonabelian group actions on Cantor sets

Mathematics Subject Classification ID

Other classes of groups defined by subgroup chains (20F22) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Continua theory in dynamics (37B45) Symbolic dynamics (37B10) General theory of group and pseudogroup actions (22F05)

Related Items

The discriminant invariant of Cantor group actions, Molino theory for matchbox manifolds, Wild solenoids, Classifying matchbox manifolds, Orbit equivalence and classification of weak solenoids, Pro-groups and generalizations of a theorem of Bing, Arboreal Cantor actions, Manifold-like matchbox manifolds, Limit group invariants for non-free Cantor actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The discriminant invariant of Cantor group actions
• A complete classification of homogeneous plane continua
• Topological Molino's theory
• Local product structures on homogeneous continua
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• The orientability of matchbox manifolds
• Foliations with measure preserving holonomy
• Polynomial growth in holonomy groups of foliations
• A characterization of solenoids
• Leaves whose growth is neither exponential nor polynomial
• Molino theory for matchbox manifolds
• A note on curvature and fundamental group
• Homogeneous matchbox manifolds
• Voronoi tessellations for matchbox manifolds
• The Schreier continuum and ends
• A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
• G -odometers and their almost one-to-one extensions
• Flows on one-dimensional spaces
• Leaves Without Holonomy
• Homogeneous weak solenoids
• Geometric Group Theory
• The structure and spectrum of Heisenberg odometers
• Inverse Limit Sequences with Covering Maps
• Inverse Limits and Homogeneity
• Homogeneous Inverse Limit Spaces with Nonregular Covering Maps as Bonding Maps
• Involutions on solenoidal spaces
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• Expanding attractors