A note on the normal filters extension property

Yair Hayut

doi:10.1090/proc/14939

A note on the normal filters extension property

Yair Hayut^*

^*Corresponding author for this work

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

1 Scopus citations

Abstract

We show that if λ^<κ = λ and every normal filter on P_κλ can be extended to a κ-complete ultrafilter, then so does every κ-complete filter on λ. This answers a question of Gitik.

Original language	American English
Pages (from-to)	3129-3133
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	7
DOIs	https://doi.org/10.1090/proc/14939
State	Published - Jul 2020
Externally published	Yes

Bibliographical note

Funding Information:
Received by the editors August 30, 2019, and, in revised form, October 29, 2019, and November 4, 2019. 2010 Mathematics Subject Classification. Primary 03E20; Secondary 03E55. This research was partially supported by the FWF Lise Meitner grant, 2650-N35.

Publisher Copyright:
© 2020 American Mathematical Society.

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Cite this

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abstract = "We show that if λ<κ = λ and every normal filter on Pκλ can be extended to a κ-complete ultrafilter, then so does every κ-complete filter on λ. This answers a question of Gitik.",

author = "Yair Hayut",

note = "Funding Information: Received by the editors August 30, 2019, and, in revised form, October 29, 2019, and November 4, 2019. 2010 Mathematics Subject Classification. Primary 03E20; Secondary 03E55. This research was partially supported by the FWF Lise Meitner grant, 2650-N35. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",

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A note on the normal filters extension property

Abstract

Bibliographical note

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