Continuation with estimates from analytic sets of codimension 1

1990 ◽  
Vol 52 (6) ◽  
pp. 3508-3512
Author(s):  
A. M. Russakovskii
Keyword(s):  
Analytic Sets

On the limit superior of analytic sets

1984 ◽  
Vol 10 (4) ◽  
pp. 283-293 ◽  
Author(s):  
Péter Komjáth
Keyword(s):  
Analytic Sets

A remark on the identity principle for analytic sets

2011 ◽  
Vol 123 (1) ◽  
pp. 21-26
Author(s):  
Marek Jarnicki ◽  
Peter Pflug
Keyword(s):  
Analytic Sets ◽  
Identity Principle

Compositions of Set Operations

1970 ◽  
Vol 22 (2) ◽  
pp. 227-234
Author(s):  
D. W. Bressler ◽  
A. H. Cayford
Keyword(s):  
Topological Structure ◽  
Borel Sets ◽  
Set Operations ◽  
The Family ◽  
Analytic Sets

The set operations under consideration are Borel operations and Souslin's operation (). With respect to a given family of sets and in a setting free of any topological structure there are defined three Borel families (Definitions 3.1) and the family of Souslin sets (Definition 4.1). Conditions on an initial family are determined under which iteration of the Borel operations with Souslin's operation () on the initial family and the families successively produced results in a non-decreasing sequence of families of analytic sets (Theorem 5.2.1 and Definition 3.5). A classification of families of analytic sets with respect to an initial family of sets is indicated in a manner analogous to the familiar classification of Borel sets (Definition 5.3).

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