Classifying matchbox manifolds

DOI10.2140/gt.2019.23.1zbMath1411.37009arXiv1311.0226OpenAlexW1509444411MaRDI QIDQ666702

O. V. Lukina, Alex Clark, Steven E. Hurder

Publication date: 12 March 2019

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0226

zbMATH Keywords

dynamicslaminationsolenoidfoliated spacematchbox manifoldCantor pseudogroupreturn equivalence

Mathematics Subject Classification ID

Continua and generalizations (54F15) Surgery and handlebodies (57R65) Continua theory in dynamics (37B45) Foliations in differential topology; geometric theory (57R30) Pseudogroups and differentiable groupoids (58H05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Limits, profinite groups (20E18) Shape theory in general topology (54C56)

Related Items (10)

Generalized ideal classes in application to toroidal solenoids ⋮ Topology of leaves for minimal laminations by hyperbolic surfaces ⋮ Low-dimensional solenoidal manifolds ⋮ Wild solenoids ⋮ Orbit equivalence and classification of weak solenoids ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Galois groups and Cantor actions ⋮ Arboreal Cantor actions ⋮ Manifold-like matchbox manifolds ⋮ Limit group invariants for non-free Cantor actions

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