Some variations on the partition property for normal ultrafilters on Pkl
Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 163-171
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak partition property and the partition property for normal ultrafilters on $P_κλ$. In this paper we study a hierarchy of properties intermediate between the weak partition property and the partition property. Given appropriate large cardinal assumptions, we show that these properties are not all equivalent.
@article{10_4064_fm_142_2_163_171,
author = {Julius Barbanel},
title = {Some variations on the partition property for normal ultrafilters on {Pkl}},
journal = {Fundamenta Mathematicae},
pages = {163--171},
year = {1993},
volume = {142},
number = {2},
doi = {10.4064/fm-142-2-163-171},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-142-2-163-171/}
}
TY - JOUR AU - Julius Barbanel TI - Some variations on the partition property for normal ultrafilters on Pkl JO - Fundamenta Mathematicae PY - 1993 SP - 163 EP - 171 VL - 142 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-142-2-163-171/ DO - 10.4064/fm-142-2-163-171 LA - en ID - 10_4064_fm_142_2_163_171 ER -
Julius Barbanel. Some variations on the partition property for normal ultrafilters on Pkl. Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 163-171. doi: 10.4064/fm-142-2-163-171
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