Classes of Polish spaces under effective Borel isomorphism
The author studies the equivalence classes under \Delta^1_1 isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of \Delta^1_1-reduction, as opposed to the non-effective case, where only two such classes exist, the one of the Baire space and the one of the naturals.
Read More ↓Title Statements
- Full title :Classes of Polish spaces under effective Borel isomorphism / Vassilios Gregoriades.
Summary
The author studies the equivalence classes under \Delta^1_1 isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of \Delta^1_1-reduction, as opposed to the non-effective case, where only two such classes exist, the one of the Baire space and the one of the naturals.
Read More ↓Edition Statements
- Publication Date:©2015
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2015
Notes
"Volume 240, number 1135 (first of 5 numbers), March 2016."
The Physical Object
- Description:1 online resource (vii, 87 pages) : : illustrations
Edition Identifiers
- ISBN:9781470428228, 1470428229
- oclc:ocn938446269
- LC Classification:QA611.28
- Dewey Decimal:511.3/22
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