Approximation of analytic by Borel sets and definable countable chain conditions

1995 ◽  
Vol 89 (1-3) ◽  
pp. 343-356 ◽  
Author(s):  
A. S. Kechris ◽  
S. Solecki
Keyword(s):  
Borel Sets ◽  
Chain Conditions ◽  
Countable Chain

ERRATA TO "ON BOREL SETS WITH SMALL COVER"

1993 ◽  
Vol 19 (1) ◽  
pp. 58 ◽  
Author(s):  
Petruska
Keyword(s):  
Borel Sets ◽  
Small Cover

A Parametrization Theorem for Generalized Borel Sets

1991 ◽  
Vol 17 (1) ◽  
pp. 53
Author(s):  
Stone
Keyword(s):  
Borel Sets

ON A QUESTION OF L. V. KELDYSH CONCERNING THE STRUCTURE OF BOREL SETS

1988 ◽  
Vol 59 (2) ◽  
pp. 317-337 ◽  
Author(s):  
A V Ostrovskiĭ
Keyword(s):  
Borel Sets

scholarly journals N-th root rings

1987 ◽  
Vol 35 (1) ◽  
pp. 111-123 ◽  
Author(s):  
Henry Heatherly ◽  
Altha Blanchet
Keyword(s):  
Commutative Ring ◽  
Subdirect Product ◽  
General Construction ◽  
Fixed Integer ◽  
Chain Conditions

A ring for which there is a fixed integer n ≥ 2 such that every element in the ring has an n-th in the ring is called an n-th root ring. This paper gives numerous examples of diverse types of n-th root rings, some via general construction procedures. It is shown that every commutative ring can be embedded in a commutative n-th root ring with unity. The structure of n-th root rings with chain conditions is developed and finite n-th root rings are completely classified. Subdirect product representations are given for several classes of n-th root rings.

scholarly journals Chain conditions on symmetric elements

1974 ◽  
Vol 46 (3) ◽  
pp. 325-325 ◽  
Author(s):  
Susan Montgomery
Keyword(s):  
Chain Conditions

scholarly journals Decomposing the real line into Borel sets closed under addition

2015 ◽  
Vol 61 (6) ◽  
pp. 466-473
Author(s):  
Márton Elekes ◽  
Tamás Keleti
Keyword(s):  
Real Line ◽  
Borel Sets ◽  
The Real

Chain Conditions

2004 ◽  
pp. 173-176
Author(s):  
Vesselin Drensky ◽  
Edward Formanek
Keyword(s):  
Chain Conditions
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