On almost one-to-one maps

DOI10.1090/S0002-9947-06-03922-5zbMath1113.54007OpenAlexW1534685687MaRDI QIDQ3420353

Lex G. Oversteegen, Alexander M. Blokh, Edward D. Tymchatyn

Publication date: 1 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03922-5

zbMATH Keywords

embeddinghomeomorphismlight mapsalmost one-to-one maps

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Continua theory in dynamics (37B45)

Related Items (8)

Dynamics of inner mappings ⋮ Almost totally disconnected minimal systems ⋮ A generalization of Whyburn's theorem, and aperiodicity for abelian \(C^\ast\)-inclusions ⋮ Order continuity and regularity on vector lattices and on lattices of continuous functions ⋮ Proper minimal sets on compact connected 2-manifolds are nowhere dense ⋮ On minimal homeomorphisms and non-invertible maps preserving foliations ⋮ Applications of almost one-to-one maps ⋮ Semiconjugacies to angle-doubling

Cites Work

• Interval maps, factors of maps, and chaos
• A point distal transformation of the torus
• Applications of almost one-to-one maps
• Noninvertible minimal maps
• On minimal maps of 2-manifolds
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