On certain indestructibility of strong cardinals and a question of Hajnal

Moti Gitik; Saharon Shelah

doi:10.1007/BF01624081

On certain indestructibility of strong cardinals and a question of Hajnal

Moti Gitik^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

69 Scopus citations

Abstract

A model in which strongness of κ is indestructible under κ⁺ -weakly closed forcing notions satisfying the Prikry condition is constructed. This is applied to solve a question of Hajnal on the number of elements of {λ^δ|2^δ<λ}.

Original language	English
Pages (from-to)	35-42
Number of pages	8
Journal	Archive for Mathematical Logic
Volume	28
Issue number	1
DOIs	https://doi.org/10.1007/BF01624081
State	Published - Feb 1989

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title = "On certain indestructibility of strong cardinals and a question of Hajnal",

abstract = "A model in which strongness of κ is indestructible under κ+ -weakly closed forcing notions satisfying the Prikry condition is constructed. This is applied to solve a question of Hajnal on the number of elements of \{λδ|2δ<λ\}.",

author = "Moti Gitik and Saharon Shelah",

year = "1989",

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On certain indestructibility of strong cardinals and a question of Hajnal

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