Chains and antichains in Boolean algebras

M. Losada; Stevo Todorčević

Fundamenta Mathematicae (2000)

  • Volume: 163, Issue: 1, page 55-76
  • ISSN: 0016-2736

Abstract

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We give an affirmative answer to problem DJ from Fremlin’s list [8] which asks whether implies that every uncountable Boolean algebra has an uncountable set of pairwise incomparable elements.

How to cite

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Losada, M., and Todorčević, Stevo. "Chains and antichains in Boolean algebras." Fundamenta Mathematicae 163.1 (2000): 55-76. <http://eudml.org/doc/212429>.

@article{Losada2000,
abstract = {We give an affirmative answer to problem DJ from Fremlin’s list [8] which asks whether $MA_\{ω_1\}$ implies that every uncountable Boolean algebra has an uncountable set of pairwise incomparable elements.},
author = {Losada, M., Todorčević, Stevo},
journal = {Fundamenta Mathematicae},
keywords = {chains; antichains; Boolean algebras},
language = {eng},
number = {1},
pages = {55-76},
title = {Chains and antichains in Boolean algebras},
url = {http://eudml.org/doc/212429},
volume = {163},
year = {2000},
}

TY - JOUR
AU - Losada, M.
AU - Todorčević, Stevo
TI - Chains and antichains in Boolean algebras
JO - Fundamenta Mathematicae
PY - 2000
VL - 163
IS - 1
SP - 55
EP - 76
AB - We give an affirmative answer to problem DJ from Fremlin’s list [8] which asks whether $MA_{ω_1}$ implies that every uncountable Boolean algebra has an uncountable set of pairwise incomparable elements.
LA - eng
KW - chains; antichains; Boolean algebras
UR - http://eudml.org/doc/212429
ER -

References

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