On covering mappings on solenoids

DOI10.1090/S0002-9939-01-06296-7zbMath0989.54038OpenAlexW1851039596MaRDI QIDQ2782648

Patricia Pellicer Covarrubias, Janusz J. Charatonik

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06296-7

zbMATH Keywords

continuuminverse limithomotopiccovering mappingdyadic solenoid

Mathematics Subject Classification ID

Continua and generalizations (54F15) Continua theory in dynamics (37B45)

Related Items (max. 100)

Limit automorphisms of the \(C^\ast\)-algebras generated by isometric representations for semigroups of rationals ⋮ On the structure of finite coverings of compact connected groups ⋮ Finite-sheeted covering spaces and a near local homeomorphism property for pseudosolenoids ⋮ Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras ⋮ Two families of Exel-Larsen crossed products

Cites Work

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• Covering mapping on solenoids and their dynamical properties
• Local homeomorphisms onto tree-like continua
• Two-to-one maps on solenoids and Knaster continua
• Each locally one-to-one map from a continuum onto a tree-like continuum is a homeomorphism
• Some properties of the induced map
• Limit mappings and projections of inverse systems

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