ON CON(dλ > COVλ(MEAGRE))

Saharon Shelah

doi:10.1090/tran/7948

ON CON(dλ > COVλ(MEAGRE))

Saharon Shelah

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

We prove the consistency of: For suitable strongly inaccessible cardinal λ the dominating number, i.e., the cofinality of λλ, is strictly bigger than covλ(meagre), i.e., the minimal number of nowhere dense subsets of λ2 needed to cover it. This answers a question of Matet.

Original language	English
Pages (from-to)	5351-5369
Number of pages	19
Journal	Transactions of the American Mathematical Society
Volume	373
Issue number	8
DOIs	https://doi.org/10.1090/tran/7948
State	Published - Aug 2020

Bibliographical note

Publisher Copyright:
© 2020 American Mathematical Society. All rights reserved.

Keywords

Cardinal invariants
Forcing
Inaccessible
Independence
Set theory

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10.1090/tran/7948

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KW - Cardinal invariants

KW - Forcing

KW - Inaccessible

KW - Independence

KW - Set theory

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ON CON(dλ > COVλ(MEAGRE))

Abstract

Bibliographical note

Keywords

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