Homogeneous weak solenoids

DOI10.1090/S0002-9947-02-03017-9zbMath0998.54018OpenAlexW2153035998MaRDI QIDQ4537407

Lex G. Oversteegen, Robbert J. Fokkink

Publication date: 30 June 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03017-9

zbMATH Keywords

principal bundlehomogeneous continuumprofinite groupweak solenoidstrong solenoid

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Fiber bundles in algebraic topology (55R10)

Related Items (22)

The discriminant invariant of Cantor group actions ⋮ Wild Cantor actions ⋮ Molino theory for matchbox manifolds ⋮ Molino's description and foliated homogeneity ⋮ Prime spectrum and dynamics for nilpotent Cantor actions ⋮ Low-dimensional solenoidal manifolds ⋮ Wild solenoids ⋮ Classifying matchbox manifolds ⋮ Orbit equivalence and classification of weak solenoids ⋮ Growth and homogeneity of matchbox manifolds ⋮ Shape of matchbox manifolds ⋮ Embedding solenoids in foliations ⋮ Hierarchy of graph matchbox manifolds ⋮ Bihomogeneity of solenoids ⋮ Measures and stabilizers of group Cantor actions ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Galois groups and Cantor actions ⋮ Arboreal Cantor actions ⋮ Hausdorff dimension in graph matchbox manifolds ⋮ Homogeneous matchbox manifolds ⋮ Limit group invariants for non-free Cantor actions ⋮ Cantor dynamics of renormalizable groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An alternative proof and applications of a theorem of E. G. Effros
• Local product structures on homogeneous continua
• The orientability of matchbox manifolds
• A characterization of solenoids
• Transformation groups and \(C^ *\)-algebras
• A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
• On the Bihomogeneity Problem of Knaster
• Flows on one-dimensional spaces
• The Classification of Solenoids
• On All Kinds of Homogeneous Spaces
• Subgroups of Surface Groups are Almost Geometric
• Inverse Limit Sequences with Covering Maps
• Inverse Limits and Homogeneity
• Homogeneous Inverse Limit Spaces with Nonregular Covering Maps as Bonding Maps
• Homeomorphism Groups of Weak Solenoidal Spaces
• Involutions on solenoidal spaces
• The Group of Homeomorphisms of a Solenoid
• Mappings of inverse limits
• Expanding attractors
• Bihomogeneity of solenoids
• A generalization of Hagopian's theorem and exponents

This page was built for publication: Homogeneous weak solenoids