There are many normal ultrafiltres corresponding to a supercompact cardinal

M. Magidor

doi:10.1007/BF02771583

There are many normal ultrafiltres corresponding to a supercompact cardinal

M. Magidor^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

It is proved that if κ is supercompact, there are at least (2^• P^κ(β)^•)⁺normal ultrafilters over P_k (β) and if V=H.O.D. exactly (2^2• P^κ(β)^•) normal ultrafilters.

Original language	English
Pages (from-to)	186-192
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.1007/BF02771583
State	Published - Mar 1971

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abstract = "It is proved that if κ is supercompact, there are at least (2• P κ(β)•)+normal ultrafilters over P k (β) and if V=H.O.D. exactly (22• P κ(β)•) normal ultrafilters.",

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There are many normal ultrafiltres corresponding to a supercompact cardinal

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