A $5-r$ uniqueness theorem
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- by Jessie Ann Engle PDF
- Trans. Amer. Math. Soc. 201 (1975), 89-104 Request permission
Abstract:
A Borel-regular Carathéodory outer measure $\Lambda$ on a separable metric space $X$, where $\Lambda$ is invariant with respect to a family $H$ of homeomorphisms from $X$ onto $X$, is unique if $\Lambda$ satisfies a $5$ - $r$ condition at one point in $X$ and if $H$ satisfies Condition I, a condition much weaker than, but related to, the invariance of distance under $H$.References
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J. A. Engle, Haar measure on left-continuous groups and a related uniqueness theorem, Doctoral Dissertation, Ohio State University, Columbus, Ohio, 1971.
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 201 (1975), 89-104
- MSC: Primary 28A70
- DOI: https://doi.org/10.1090/S0002-9947-1975-0355009-3
- MathSciNet review: 0355009