Around cofin

Andrzej Rosłanowski; Saharon Shelah

Colloquium Mathematicae (2014)

  • Volume: 134, Issue: 2, page 211-225
  • ISSN: 0010-1354

Abstract

top
We show the consistency of "there is a nice σ-ideal ℐ on the reals with add(ℐ) = ℵ₁ which cannot be represented as the union of a strictly increasing sequence of length ω₁ of σ-subideals". This answers [Borodulin-Nadzieja and Głąb, Math. Logic Quart. 57 (2011), 582-590, Problem 6.2(ii)].

How to cite

top

Andrzej Rosłanowski, and Saharon Shelah. "Around cofin." Colloquium Mathematicae 134.2 (2014): 211-225. <http://eudml.org/doc/283860>.

@article{AndrzejRosłanowski2014,
abstract = {We show the consistency of "there is a nice σ-ideal ℐ on the reals with add(ℐ) = ℵ₁ which cannot be represented as the union of a strictly increasing sequence of length ω₁ of σ-subideals". This answers [Borodulin-Nadzieja and Głąb, Math. Logic Quart. 57 (2011), 582-590, Problem 6.2(ii)].},
author = {Andrzej Rosłanowski, Saharon Shelah},
journal = {Colloquium Mathematicae},
keywords = {cardinal invariants; Borel ideals; cofin; forcing},
language = {eng},
number = {2},
pages = {211-225},
title = {Around cofin},
url = {http://eudml.org/doc/283860},
volume = {134},
year = {2014},
}

TY - JOUR
AU - Andrzej Rosłanowski
AU - Saharon Shelah
TI - Around cofin
JO - Colloquium Mathematicae
PY - 2014
VL - 134
IS - 2
SP - 211
EP - 225
AB - We show the consistency of "there is a nice σ-ideal ℐ on the reals with add(ℐ) = ℵ₁ which cannot be represented as the union of a strictly increasing sequence of length ω₁ of σ-subideals". This answers [Borodulin-Nadzieja and Głąb, Math. Logic Quart. 57 (2011), 582-590, Problem 6.2(ii)].
LA - eng
KW - cardinal invariants; Borel ideals; cofin; forcing
UR - http://eudml.org/doc/283860
ER -

NotesEmbed ?

top

You must be logged in to post comments.