Whitney Continua of Curves

DOI10.2307/2000604zbMath0621.54006OpenAlexW4254783876MaRDI QIDQ3756966

Hisao Kato

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000604

zbMATH Keywords

Hausdorff metricinverse limitcircle-like continuaFANRfundamental dimensionhyperspace of subcontinuashape type(strongly) winding curve\(\theta \) (m)-curvemovable continuatree- like continuaWhitney continua of curvesWhitney continua of graphs

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Spectra in general topology (54B35) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Shape theory in general topology (54C56)

Related Items (4)

Determining finite graphs by their large Whitney levels ⋮ Various types of Whitney maps on \(n\)-dimensional compact connected polyhedra (n\(\leq 2)\) ⋮ Movability and strong Whitney-reversible properties ⋮ Unnamed Item

Cites Work

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• Concerning hyperspaces of certain Peano continua and strong regularity of Whitney maps
• Characterizations of tree-like continua
• Extending Whitney maps
• Applications of a Vietoris-Begle theorem for multi-valued maps to the cohomology of hyperspaces
• On the hyperspaces of snake-like and circle-like continua
• Hyperspaces of the Inverse Limit Space
• Whitney Levels in Hyperspaces of Certain Peano Continua
• Shape Properties of Whitney Maps for Hyperspaces
• Whitney-reversible properties
• Some properties of fundamental dimension
• Dimension and the Whitney subcontinua of C(X)
• Whitney properties
• Shape properties of hyperspaces
• Contractibility of Whitney continua in C(X)
• On the hyperspace of subcontinua of a finite graph I
• Embedding the Hyperspaces of Circle-Like Plane Continua
• The Cone = Hyperspace Property
• Continua with cones homeomorphic to hyperspaces
• Hyperspaces of a Continuum

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