Strongly countable dimensional compacta form the Hurewicz set

DOI10.1016/j.topol.2005.02.015zbMath1113.54004OpenAlexW2050369891MaRDI QIDQ869660

Paweł Krupski, Alicja Samulewicz

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.02.015

zbMATH Keywords

hyperspacecohomological dimensionHilbert cubeabsorberanalytic setcountable dimensional spaceHurewicz set

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Topology of infinite-dimensional manifolds (57N20)

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Cites Work

• The hyperspace of hereditarily decomposable subcontinua of a cube is the Hurewicz set
• The hyperspaces of infinite-dimensional compacta for covering and cohomological dimension are homeomorphic
• More non-analytic classes of continua
• Cell-like resolutions in the strongly countable \(\mathbb Z\)-dimensional case
• Caractérisation topologique de l'espace des fonctions dérivables
• Hyperspaces of Peano continua are Hubert cubes
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