Distinguishing two partition properties of ω1
Fundamenta Mathematicae (1998)
- Volume: 155, Issue: 1, page 95-99
- ISSN: 0016-2736
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Abstract
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topKomjáth, Péter. "Distinguishing two partition properties of ω1." Fundamenta Mathematicae 155.1 (1998): 95-99. <http://eudml.org/doc/212246>.
@article{Komjáth1998,
abstract = {It is consistent that $ω_1→(ω_1,(ω:2))^2$ but $ω_1↛(ω_1,ω+2)^2$.},
author = {Komjáth, Péter},
journal = {Fundamenta Mathematicae},
keywords = {partition calculus; ; iterated forcing; partition relations},
language = {eng},
number = {1},
pages = {95-99},
title = {Distinguishing two partition properties of ω1},
url = {http://eudml.org/doc/212246},
volume = {155},
year = {1998},
}
TY - JOUR
AU - Komjáth, Péter
TI - Distinguishing two partition properties of ω1
JO - Fundamenta Mathematicae
PY - 1998
VL - 155
IS - 1
SP - 95
EP - 99
AB - It is consistent that $ω_1→(ω_1,(ω:2))^2$ but $ω_1↛(ω_1,ω+2)^2$.
LA - eng
KW - partition calculus; ; iterated forcing; partition relations
UR - http://eudml.org/doc/212246
ER -
References
top- [1] J. E. Baumgartner and A. Hajnal, A proof (involving Martin's axiom) of a partition relation, Fund. Math. 78 (1973), 193-203. Zbl0257.02054
- [2] W. W. Comfort and S. Negrepontis, Chain Conditions in Topology, Cambridge Univ. Press, 1982.
- [3] B. Dushnik and E. W. Miller, Partially ordered sets, Amer. J. Math. 63 (1941), 600-610. Zbl0025.31002
- [4] P. Erdős and R. Rado, A partition calculus in set theory, Bull. Amer. Math. Soc. 62 (1956), 427-489. Zbl0071.05105
- [5] A. Hajnal, Some results and problems on set theory, Acta Math. Acad. Sci. Hungar. 11 (1960), 277-298. Zbl0106.00901
- [6] S. Todorčević, Forcing positive partition relations, Trans. Amer. Math. Soc. 280 (1983), 703-720. Zbl0532.03023
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