Fixed point set characterizations of Peano continua and absolute retracts

DOI10.1016/S0166-8641(02)00107-4zbMath1025.54019MaRDI QIDQ1873297

Eric L. McDowell

Publication date: 20 May 2003

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

zbMATH Keywords

absolute retractPeano continuumabsolute fixed point setcontinuum-valued fixed point setmulti-valued fixed point set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Connected and locally connected spaces (general aspects) (54D05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

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• Extending a metric
• On absolute fixed-point sets
• Absolute fixed point sets and AR-spaces
• Absolute fixed-point sets in compacta
• Absolute fixed point sets for multi-valued maps
• Absolute fixed point sets for continuum-valued maps
• A Fixed Point Theorem

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