Published June 1997
| Version Published
Journal Article
Open
On the concept of π^1_1-completeness
Abstract
It is shown that two natural notions of completeness for co-analytic sets in Polish spaces, one in terms of continuous reductions and the other in terms of Borel reductions, coincide. The proof uses methods of effective descriptive set theory.
Additional Information
© 1997 American Mathematical Society. Received by the editors October 2, 1995 and, in revised form, January 15, 1996. Communicated by Andreas R. Blass. The author's research was partially supported by NSF Grant DMS-9317509.Attached Files
Published - 2162226.pdf
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2162226.pdf
Additional details
Identifiers
- Eprint ID
- 38614
- Resolver ID
- CaltechAUTHORS:20130521-135837396
Funding
- NSF
- DMS-9317509
Dates
- Created
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2013-05-23Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department
- Other Numbering System Name
- MathSciNet review
- Other Numbering System Identifier
- 1372034