Compacta admitting retractions close to the identity map

zbMath1486.54028MaRDI QIDQ1983268

Marcus Marsh

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse limithomeomorphically covered sequencesretractably \(\mathcal{G}\)-likeretractably arclike

Mathematics Subject Classification ID

Continua and generalizations (54F15) Retraction (54C15) Compact (locally compact) metric spaces (54E45) Basic constructions in general topology (54B99) Inverse limits of set-valued functions (54F17)

Cites Work

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• A Fixed Point Theorem for Inverse Limits of Fans
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• Interesting Dynamics and Inverse Limits in a Family of One-Dimensional Maps
• Irreducibility and indecomposability in inverse limits
• Periodicity and Indecomposability
• Non-additivity of the fixed point property for tree-like continua
• A Universal Snake-Like Continuum
• Continua which admit only the identity mapping onto non-degenerate subcontinua
• Approximating continua from within
• Small retractions of smooth dendroids onto trees
• An atriodic tree-like continuum with positive span

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