Homeomorphisms of linear and planar sets of the first category into microscopic sets

DOI10.1016/J.TOPOL.2011.11.055zbMath1242.28001OpenAlexW2072664073MaRDI QIDQ409704

Aleksandra Karasińska, Elżbieta Wagner-Bojakowska

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.055

zbMATH Keywords

small setsauthomorphisms of the intervalHausdorff dimension zeroMicroscopic setssets of the first category

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Baire category, Baire spaces (54E52)

Related Items (9)

Additivity of the ideal of microscopic sets ⋮ On microscopic sets and Fubini Property in all directions ⋮ A generalization of the notion of microscopic sets ⋮ On some generic small Cantor spaces ⋮ General approach to microscopic-type sets ⋮ Remarks on some generalization of the notion of microscopic sets ⋮ Continuous functions in Hashimoto topologies and their algebraic properties ⋮ Microscopic and strongly microscopic sets on the plane. Fubini theorem and Fubini property ⋮ Peano-type curves, Liouville numbers, and microscopic sets

Cites Work

• Some remarks on small sets
• Real Mathematical Analysis
• On the equivalence of any set of first category to a set of measure zero
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