On the concept of π^1_1-completeness

Kechris, Alexander S. (1997) On the concept of π^1_1-completeness. Proceedings of the American Mathematical Society, 125 (6). pp. 1811-1814. ISSN 0002-9939. doi:10.1090/S0002-9939-97-03770-2. https://resolver.caltech.edu/CaltechAUTHORS:20130521-135837396

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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.

Item Type:

Article

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URL	URL Type	Description
http://dx.doi.org/10.1090/S0002-9939-97-03770-2	DOI	UNSPECIFIED
http://www.ams.org/journals/proc/1997-125-06/S0002-9939-97-03770-2/home.html	Publisher	UNSPECIFIED
http://www.jstor.org/stable/2162226	Publisher	UNSPECIFIED

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.

Funders:

Funding Agency	Grant Number
NSF	DMS-9317509

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
MathSciNet review	1372034

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Classification Code:

1991 Mathematics Subject Classification. Primary 03E15, 04A15, 28A05, 54H05

DOI:

10.1090/S0002-9939-97-03770-2

Record Number:

CaltechAUTHORS:20130521-135837396

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20130521-135837396

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

38614

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

23 May 2013 15:50

Last Modified:

09 Nov 2021 23:38

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