On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 579-584
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We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space that does not include a perfect pre-image of ${{\text{ }\!\!\omega\!\!\text{ }}_{1}}$ is hereditarily paracompact.
Mots-clés :
54D35, 54D15, 54D20, 54D45, 03E65, 03E35, locally compact, hereditarily normal, paracompact, Axiom R, PFA++
Larson, Paul; Tall, Franklin D. On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 579-584. doi: 10.4153/CMB-2014-010-3
@article{10_4153_CMB_2014_010_3,
author = {Larson, Paul and Tall, Franklin D.},
title = {On the {Hereditary} {Paracompactness} of {Locally} {Compact,} {Hereditarily} {Normal} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {579--584},
year = {2014},
volume = {57},
number = {3},
doi = {10.4153/CMB-2014-010-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-010-3/}
}
TY - JOUR AU - Larson, Paul AU - Tall, Franklin D. TI - On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces JO - Canadian mathematical bulletin PY - 2014 SP - 579 EP - 584 VL - 57 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-010-3/ DO - 10.4153/CMB-2014-010-3 ID - 10_4153_CMB_2014_010_3 ER -
%0 Journal Article %A Larson, Paul %A Tall, Franklin D. %T On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces %J Canadian mathematical bulletin %D 2014 %P 579-584 %V 57 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-010-3/ %R 10.4153/CMB-2014-010-3 %F 10_4153_CMB_2014_010_3
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