The special Aronszajn tree property

Mohammad Golshani; Yair Hayut

doi:10.1142/S0219061320500038

The special Aronszajn tree property

Mohammad Golshani, Yair Hayut^*

^*Corresponding author for this work

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

2 Scopus citations

Abstract

Assuming the existence of a proper class of supercompact cardinals, we force a generic extension in which, for every regular cardinal κ, there are κ+-Aronszajn trees, and all such trees are special.

Original language	American English
Article number	2050003
Journal	Journal of Mathematical Logic
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0219061320500038
State	Published - 1 Apr 2020
Externally published	Yes

Bibliographical note

Funding Information:
M. Golshani’s research has been supported by a grant from IPM (No. 971030417). Y. Hayut’s research has been supported by the FWF Lise Meitner Grant, 2650-N35.

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

Aronszajn trees
Generalized Suslin Hypothesis
Tree specialization

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10.1142/S0219061320500038

Cite this

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The special Aronszajn tree property

Abstract

Bibliographical note

Keywords

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