Classification problems in continuum theory

DOI10.1090/S0002-9947-05-03956-5zbMath1118.03041OpenAlexW1605894296MaRDI QIDQ5461387

Riccardo Camerlo, Alberto Marcone, Udayan B. Darji

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03956-5

zbMATH Keywords

descriptive set theorydendritesdescriptive complexitycontinualikenessquasi-homeomorphism\(S_\infty\)-universal

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Continua and generalizations (54F15) Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (13)

The complexity of the classification problem of continua ⋮ The complexity of homeomorphism relations on some classes of compacta with bounded topological dimension ⋮ Hierarchy of curves with weakly confluent maps ⋮ Group actions on dendrites and curves ⋮ THE COMPLEXITY OF HOMEOMORPHISM RELATIONS ON SOME CLASSES OF COMPACTA ⋮ Monotone maps, the likeness relation and \(G\)-structures ⋮ Wilder continua and their subfamilies as coanalytic absorbers ⋮ Continua and their \(\sigma\)-ideals ⋮ Pseudoarcs, pseudocircles, Lakes of Wada and generic maps on \(S^2\) ⋮ Borel complexity up to the equivalence ⋮ There is no compact metrizable space containing all continua as unique components ⋮ Invariantly universal analytic quasi-orders ⋮ The complexity of the classification problems of finite-dimensional continua

Cites Work

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• Complexity of hereditarily decomposable continua
• On Fraissé's order type conjecture
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• Evaluation de la classe borélienne ou projective d'un ensemble de points à l'aide des symboles logiques
• Sur l'ensemble de continus péaniens
• The completeness of the isomorphism relation for countable Boolean algebras
• Complexity of curves
• On Burgess’s theorem and related problems
• The complexity of continuous embeddability between dendrites
• Concerning Continua Irreducible About n Points

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