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On the existence of invariant measures that behave like area

Author: Stewart Baldwin
Journal: Proc. Amer. Math. Soc. 115 (1992), 89-96
MSC: Primary 58F11; Secondary 28C10, 54H20
MathSciNet review: 1112485
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Abstract: A countably additive measure on a locally compact, separable, metric space $ X$ will be called area-like if points have measure zero, compact sets have finite measure, and nonempty open sets have nonzero measure. Given a homeomorphism $ f$ of $ X$, we examine criteria that guarantee the existence or nonexistence of arealike measures that are invariant under $ f$.

References [Enhancements On Off] (What's this?)

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Keywords: Invariant measure, area-preserving homeomorphism
Article copyright: © Copyright 1992 American Mathematical Society

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