On fields and ideals connected with notions of forcing

W. Kułaga

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 2, page 271-281
  • ISSN: 0010-1354

Abstract

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We investigate an algebraic notion of decidability which allows a uniform investigation of a large class of notions of forcing. Among other things, we show how to build σ-fields of sets connected with Laver and Miller notions of forcing and we show that these σ-fields are closed under the Suslin operation.

How to cite

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W. Kułaga. "On fields and ideals connected with notions of forcing." Colloquium Mathematicae 105.2 (2006): 271-281. <http://eudml.org/doc/283468>.

@article{W2006,
abstract = {We investigate an algebraic notion of decidability which allows a uniform investigation of a large class of notions of forcing. Among other things, we show how to build σ-fields of sets connected with Laver and Miller notions of forcing and we show that these σ-fields are closed under the Suslin operation.},
author = {W. Kułaga},
journal = {Colloquium Mathematicae},
keywords = {Boolean algebra; Suslin operation; first category; Sacks forcing; Laver forcing; Miller forcing; Marczewski ideal; disjoint refinement},
language = {eng},
number = {2},
pages = {271-281},
title = {On fields and ideals connected with notions of forcing},
url = {http://eudml.org/doc/283468},
volume = {105},
year = {2006},
}

TY - JOUR
AU - W. Kułaga
TI - On fields and ideals connected with notions of forcing
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 2
SP - 271
EP - 281
AB - We investigate an algebraic notion of decidability which allows a uniform investigation of a large class of notions of forcing. Among other things, we show how to build σ-fields of sets connected with Laver and Miller notions of forcing and we show that these σ-fields are closed under the Suslin operation.
LA - eng
KW - Boolean algebra; Suslin operation; first category; Sacks forcing; Laver forcing; Miller forcing; Marczewski ideal; disjoint refinement
UR - http://eudml.org/doc/283468
ER -

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