Geodesic
On the non-extendibility of strongness and supercompactness through strong compactness
Arthur W. Apter1
1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A.
Fundamenta Mathematicae, Tome 174 (2002) no. 1, pp. 87-96.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

If $\kappa $ is either supercompact or strong and $\delta \kappa $ is $\alpha $ strong or $\alpha $ supercompact for every $\alpha \kappa $, then it is known $\delta $ must be (fully) strong or supercompact. We show this is not necessarily the case if $\kappa $ is strongly compact.
DOI : 10.4064/fm174-1-5
Keywords: kappa either supercompact strong delta kappa alpha strong alpha supercompact every alpha kappa known delta fully strong supercompact necessarily kappa strongly compact

Arthur W. Apter 1

1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A. 
@article{10_4064_fm174_1_5,
     author = {Arthur W. Apter},
     title = {On the non-extendibility
of strongness and supercompactness
through strong compactness},
     journal = {Fundamenta Mathematicae},
     pages = {87--96},
     publisher = {mathdoc},
     volume = {174},
     number = {1},
     year = {2002},
     doi = {10.4064/fm174-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm174-1-5/}
}
TY  - JOUR
AU  - Arthur W. Apter
TI  - On the non-extendibility
of strongness and supercompactness
through strong compactness
JO  - Fundamenta Mathematicae
PY  - 2002
SP  - 87
EP  - 96
VL  - 174
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm174-1-5/
DO  - 10.4064/fm174-1-5
LA  - en
ID  - 10_4064_fm174_1_5
ER  - 
%0 Journal Article
%A Arthur W. Apter
%T On the non-extendibility
of strongness and supercompactness
through strong compactness
%J Fundamenta Mathematicae
%D 2002
%P 87-96
%V 174
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm174-1-5/
%R 10.4064/fm174-1-5
%G en
%F 10_4064_fm174_1_5
Arthur W. Apter. On the non-extendibility
of strongness and supercompactness
through strong compactness. Fundamenta Mathematicae, Tome 174 (2002) no. 1, pp. 87-96. doi : 10.4064/fm174-1-5. http://geodesic.mathdoc.fr/articles/10.4064/fm174-1-5/

Cité par Sources :