Complete Erdős space is unstable

DOI10.1017/S0305004104007996zbMath1055.54016OpenAlexW2129396066MaRDI QIDQ4824776

Jan van Mill, Jan J. Dijkstra, Juris Steprāns

Publication date: 1 November 2004

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004104007996

zbMATH Keywords

one-dimensionalcomplete Erdős spacealmost zero-dimensionalhairy arcuniversal Menger continua

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65) Product spaces in general topology (54B10) Dimension theory in general topology (54F45) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items (17)

A characterization of the product of the rational numbers and complete Erdős space ⋮ A characterization of Erdős space factors ⋮ A counterexample concerning line-free groups and complete Erdos space ⋮ On one-point connectifications ⋮ Classifying Erdős type spaces of higher descriptive complexity ⋮ Some aspects of dimension theory for topological groups ⋮ Negligible sets in Erdős spaces ⋮ Symmetric products of Erdős space and complete Erdős space ⋮ On generalized Erdös spaces ⋮ Characterizing stable complete Erdős space ⋮ On homeomorphism groups of Menger continua ⋮ On topological Kadec norms ⋮ Homeomorphism groups of manifolds and Erdos space ⋮ Erdos space and homeomorphism groups of manifolds ⋮ Unnamed Item ⋮ Universal spaces for almost $n$-dimensionality ⋮ New Examples of Small Polish Structures

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