On the existence of invariant measures that behave like area
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- by Stewart Baldwin PDF
- Proc. Amer. Math. Soc. 115 (1992), 89-96 Request permission
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
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 89-96
- MSC: Primary 58F11; Secondary 28C10, 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1992-1112485-1
- MathSciNet review: 1112485