Subcontinua with Degenerate Tranches in Hereditarily Decomposable Continua

DOI10.2307/1999180zbMath0511.54019OpenAlexW4246250703MaRDI QIDQ4748800

Lex G. Oversteegen, Edward D. Tymchatyn

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999180

zbMATH Keywords

hereditarily decomposable continuumirreducible continuamonotone open mappingarcwise accessibility in hyperspacessubcontinuum with degenerate trancheKnaster's continuummonotone decomposition into tranches

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (4)

Nonblockers for hereditarily decomposable continua with the property of Kelley ⋮ Cantor sets of arcs in decomposable local Siegel disk boundaries ⋮ Orbits of the Pseudocircle ⋮ Irreducible continua of type \(\lambda\) with almost unique hyperspace

Cites Work

• Proof that every compact decomposable continuum which is topologically equivalent to each of its nondegenerate subcontinua is an arc
• Composants of Hausdorff indecomposable continua; a mapping approach
• Irreducibility of the sum of the elements of a continuous collection of continua
• On two theorems of Dyer
• Irreducible continua with degenerate end-tranches and arcwise accessibility in hyperspaces
• Upper semi-continuous decompositions of irreducible continua
• On Mapping Indecomposable Continua Onto Certain Chainable Indecomposable Continua
• Un continu irréductible à décomposition continue en tranches
• Sur l'existence des continus indécomposables
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