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A universal coanalytic linear ordering
Author(s):
Abhijit
Dasgupta
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3715-3719.
MSC (2000):
Primary 03E15, 04A15;
Secondary 06A05
Posted:
July 10, 2001
MathSciNet review:
1860507
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Abstract:
We construct a  linear ordering in which every  (coanalytic) linear ordering can be order embedded.
References:
-
- 1.
- L. Harrington and S. Shelah, Counting equivalence classes for co-
 -Souslin relations, Logic Colloquium 1980, Eds. D. Van Dalen, D. Lascar, and T. J. Smiley, North-Holland, 1982. MR 84c:03088 - 2.
- L. Harrington, D. Marker, and S. Shelah, Borel Orderings, Trans. Amer. Math. Soc. 310, 1 (1988), 293-302. MR 90c:03041
- 3.
- A. S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, 1994.
- 4.
- Y. N. Moschovakis, Descriptive Set Theory, North-Holland, 1980. MR 82e:03002
- 5.
- J. G. Rosenstein, Linear Orderings, Academic Press, 1982. MR 84m:06001
- 6.
- S. M. Srivastava, A Course on Borel Sets, Springer-Verlag, 1998. MR 99d:04002
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Additional Information:
Abhijit
Dasgupta
Email:
takdoom@yahoo.com
DOI:
10.1090/S0002-9939-01-05989-5
PII:
S 0002-9939(01)05989-5
Keywords:
Descriptive set theory,
coanalytic sets,
total order,
linear order
Received by editor(s):
November 22, 1999
Received by editor(s) in revised form:
May 1, 2000
Posted:
July 10, 2001
Communicated by:
Carl G. Jockusch, Jr.
Copyright of article:
Copyright
2001,
Abhijit Dasgupta, GNU GPL style copyleft
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