Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"

In this note we answer the following question of Grinblat: Is it consistent that for some set X, cov(NULL restriction X)=lambda is a weakly inaccessible cardinal (so X not null of course) while cov(meagre) is small, say it is aleph_1.

Detalles Bibliográficos
Autor principal: Shelah, S
Lenguaje:eng
Publicado: 2005
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/853333
_version_ 1780907020133597184
author Shelah, S
author_facet Shelah, S
author_sort Shelah, S
collection CERN
description In this note we answer the following question of Grinblat: Is it consistent that for some set X, cov(NULL restriction X)=lambda is a weakly inaccessible cardinal (so X not null of course) while cov(meagre) is small, say it is aleph_1.
id cern-853333
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
record_format invenio
spelling cern-8533332019-09-30T06:29:59Zhttp://cds.cern.ch/record/853333engShelah, SConsistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"Mathematical Physics and MathematicsIn this note we answer the following question of Grinblat: Is it consistent that for some set X, cov(NULL restriction X)=lambda is a weakly inaccessible cardinal (so X not null of course) while cov(meagre) is small, say it is aleph_1.math.LO/0504201oai:cds.cern.ch:8533332005-04-10
spellingShingle Mathematical Physics and Mathematics
Shelah, S
Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
title Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
title_full Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
title_fullStr Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
title_full_unstemmed Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
title_short Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
title_sort consistency of "the ideal of null restricted to some a is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/853333
work_keys_str_mv AT shelahs consistencyoftheidealofnullrestrictedtosomeaiskappacompletenotkappacompletekappaweaklyinaccessibleandcovmeagrealeph1

Ejemplares similares