Monotone decompositions of inverse limit spaces based on finite graphs

DOI10.1016/0166-8641(90)90040-9zbMath0698.54007OpenAlexW2027344503WikidataQ127348857 ScholiaQ127348857MaRDI QIDQ912420

Robert P. Roe

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90040-9

zbMATH Keywords

finite graphinverse limit space\(\theta_ n\)-continuacompact, connected, locally connected metric spacemonotone upper semicontinuous decompositionunique minimal monotone, upper semicontinuous decomposition

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65) Compact (locally compact) metric spaces (54E45) Quotient spaces, decompositions in general topology (54B15) Spectra in general topology (54B35)

Related Items (5)

Entropy, periodicity, and graphs with zero Euler characteristic ⋮ Dynamics and indecomposable inverse limit spaces of maps on finite graphs ⋮ The Dynamics of Continuous Maps of Finite Graphs through Inverse Limits ⋮ On inverse limit spaces of maps of an interval with zero entropy ⋮ On homeomorphisms of \((I,f)\) having topological entropy zero

Cites Work

• Circle maps and inverse limits
• Dense orbits on the interval
• Dynamics and indecomposable inverse limit spaces of maps on finite graphs
• Snake-like continua
• Dense Periodicity on the Interval
• Monotone Decompositions of θ n -Continua
• Monotone Decompositions of Continua Not Separated by Any Subcontinua
• Chaos, Periodicity, and Snakelike Continua
• Concerning Non-Aposyndetic Continua

This page was built for publication: Monotone decompositions of inverse limit spaces based on finite graphs