Geodesic
On the non-extendibility of strongness and supercompactness through strong compactness
Arthur W. Apter 1
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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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

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