Chan, William (2017) Equivalence Relations Which Are Borel Somewhere. Journal of Symbolic Logic, 82 (03). pp. 893-930. ISSN 0022-4812. doi:10.1017/jsl.2017.22. https://resolver.caltech.edu/CaltechAUTHORS:20171002-095042985
![]() |
PDF
- Submitted Version
See Usage Policy. 459kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20171002-095042985
Abstract
The following will be shown: Let I be a σ-ideal on a Polish space X so that the associated forcing of I + Δ^1_1 sets ordered by ⊆ is a proper forcing. Let E be a Σ^1_1 or a ∏^1_1 equivalence relation on X with all equivalence classes Δ^1_1. If for all z ∈_H(2^N0)+, z ♯ exists, then there exists an I + Δ^1_1 set C ⊆ X such that E ↾ C is a Δ^1_1 equivalence relation.
Item Type: | Article | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||||||
Additional Information: | © 2017 The Association for Symbolic Logic. Published online: 08 September 2017. Research partially supported by NSF grants DMS-1464475 and EMSW21-RTG DMS-1044448. | ||||||||||||
Funders: |
| ||||||||||||
Issue or Number: | 03 | ||||||||||||
Classification Code: | MSC: 03E15; 03E35; 03E55 | ||||||||||||
DOI: | 10.1017/jsl.2017.22 | ||||||||||||
Record Number: | CaltechAUTHORS:20171002-095042985 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171002-095042985 | ||||||||||||
Official Citation: | CHAN, W. (2017). EQUIVALENCE RELATIONS WHICH ARE BOREL SOMEWHERE. The Journal of Symbolic Logic, 82(3), 893-930. doi:10.1017/jsl.2017.22 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 81939 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 02 Oct 2017 17:17 | ||||||||||||
Last Modified: | 15 Nov 2021 19:47 |
Repository Staff Only: item control page