The mathematical work of John C. Oxtoby

DOI10.1090/conm/678/13640zbMath1364.37003OpenAlexW4240406977MaRDI QIDQ2975227

Joseph Auslander, Cesar E. Silva, Steven Alpern

Publication date: 11 April 2017

Published in: Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/678/13640

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Biographies, obituaries, personalia, bibliographies (01A70) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Homeomorphic measures in the Hilbert cube
• On the ergodic theorem of Hurewicz
• Construction of a non-separable invariant extension of the Lebesgue measure space
• In general a measure preserving transformation is mixing
• Measure-preserving homeomorphisms and metrical transitivity
• Partitions of the Plane Into Sets Having Positive Measure in Every Non-Null Measurable Product Set
• Four Topologically Equivalent Measures in the Cantor Space
• Toeplitz minimal flows which are not uniquely ergodic
• Cartesian products of Baire spaces
• The kernel operation on subsets of a $T_1$-space
• Diameters of Arcs and the Gerrymandering Problem
• Topologically Equivalent Measures in the Cantor Space
• A characterization of homeomorphic Bernoulli trial measures
• Homeomorphic Measures in Metric Spaces
• Approximation of measure preserving transformations
• Horizontal Chord Theorems
• Note on Transitive Transformations
• On the equivalence of any set of first category to a set of measure zero
• Ergodic sets
• Stepanoff Flows on the Torus
• Invariant Measures in Groups Which are not Locally Compact
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