The consistency of 𝔟 = κ and 𝔰 = κ⁺

Vera Fischer; Juris Steprāns

Fundamenta Mathematicae (2008)

  • Volume: 201, Issue: 3, page 283-293
  • ISSN: 0016-2736

Abstract

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Using finite support iteration of ccc partial orders we provide a model of 𝔟 = κ < 𝔰 = κ⁺ for κ an arbitrary regular, uncountable cardinal.

How to cite

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Vera Fischer, and Juris Steprāns. "The consistency of 𝔟 = κ and 𝔰 = κ⁺." Fundamenta Mathematicae 201.3 (2008): 283-293. <http://eudml.org/doc/282850>.

@article{VeraFischer2008,
abstract = {Using finite support iteration of ccc partial orders we provide a model of 𝔟 = κ < 𝔰 = κ⁺ for κ an arbitrary regular, uncountable cardinal.},
author = {Vera Fischer, Juris Steprāns},
journal = {Fundamenta Mathematicae},
keywords = {bounding number; splitting number; ccc forcing notion; pure condition; logarithmic measure},
language = {eng},
number = {3},
pages = {283-293},
title = {The consistency of 𝔟 = κ and 𝔰 = κ⁺},
url = {http://eudml.org/doc/282850},
volume = {201},
year = {2008},
}

TY - JOUR
AU - Vera Fischer
AU - Juris Steprāns
TI - The consistency of 𝔟 = κ and 𝔰 = κ⁺
JO - Fundamenta Mathematicae
PY - 2008
VL - 201
IS - 3
SP - 283
EP - 293
AB - Using finite support iteration of ccc partial orders we provide a model of 𝔟 = κ < 𝔰 = κ⁺ for κ an arbitrary regular, uncountable cardinal.
LA - eng
KW - bounding number; splitting number; ccc forcing notion; pure condition; logarithmic measure
UR - http://eudml.org/doc/282850
ER -

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