The structure of equicontinuous maps

DOI10.1090/S0002-9947-03-03339-7zbMath1026.54031OpenAlexW1820093636MaRDI QIDQ4417303

Jie Hua Mai

Publication date: 28 July 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03339-7

zbMATH Keywords

metric spacegraph maprecurrent pointequicontinuous mapuniform conjugacy

Mathematics Subject Classification ID

Related Items (18)

Pointwise equicontinuity of Zadeh's extension of an interval map ⋮ Unnamed Item ⋮ The structure of graph maps without periodic points ⋮ Equicontinuity of maps on a dendrite with finite branch points ⋮ Unnamed Item ⋮ Dynamics of monotone maps on regular curves ⋮ Equicontinuity of maps on dendrites ⋮ Relatively pointwise recurrent graph map ⋮ Equicontinuity of maps on local dendrites ⋮ On the omega-limit map on 1-dimensional continua ⋮ Equicontinuous mappings on finite trees ⋮ Equicontinuity of a graph map ⋮ Implications of pseudo-orbit tracing property for continuous maps on compacta ⋮ Equicontinuity of dendrite maps ⋮ Maximal chain continuous factor ⋮ Equicontinuous local dendrite maps ⋮ Recent development of chaos theory in topological dynamics ⋮ Epsilon-equicontinuous points and epsilon-shadowable points

Cites Work

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• Dynamics in one dimension
• Equicontinuity of iterates of circle maps
• The Set of all Iterates is Nowhere Dense in C([ 0, 1 , [ 0, 1 ])]
• Topological complexity
• Common Fixed Points for a Class of Commuting Mappings on an Interval
• Γ-Compact Maps on an Interval and Fixed Points
• Pointwise-recurrent graph maps

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