Typical elements and meager spaces

DOI10.1016/S0166-8641(02)00262-6zbMath1029.54016MaRDI QIDQ1398189

W. L. Bloch

Publication date: 29 July 2003

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

zbMATH Keywords

connectednessHausdorff metrichyperspacesBaire category theoremtypicalmeager spacessubmanifold of \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Complete metric spaces (54E50) Hyperspaces in general topology (54B20) Baire category, Baire spaces (54E52) Connected and locally connected spaces (general aspects) (54D05)

Related Items (2)

Fractal boundaries are not typical ⋮ A note on the interior and dimensions of typical sumsets

Cites Work

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• The convex hull of a typical compact set
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• Fractals and hyperspaces
• The Lipschitz structure of continuous self-maps of generic compact sets
• Category and dimension of compact subsets of \(\mathbb R^n\)
• Applications of the Baire category theorem
• Concerning hereditarily indecomposable continua
• Dynamics of Typical Continuous Functions
• Families of compact sets and their universals
• The topology of attractors
• Topologies on Spaces of Subsets

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