An example of a conservative exact endomorphism which is not lim sup full (Q1977356)
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scientific article; zbMATH DE number 1446301
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a conservative exact endomorphism which is not lim sup full |
scientific article; zbMATH DE number 1446301 |
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An example of a conservative exact endomorphism which is not lim sup full (English)
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11 May 2000
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Due to a well-known result of Rokhlin it is known that for a certain class of endomorphisms which are finite measure preserving, two notions, that is exact and full are equivalent. However, there are open questions of conservativity and exactness when measure preservation is not known. The goal of this paper is to show by example that a conservative exact map need not be limsup full. For the notion limsup full see [\textit{J. Barnes}, Conservative exact rational maps of the sphere, J. Math. Anal. Appl. 230, 350-374 (1999; Zbl 0919.28012)].
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exact endomorphism
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full endomorphism
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lim sup full
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0.7463072538375854
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0.7204124927520752
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