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SEPARATING DIAGONAL STATIONARY REFLECTION PRINCIPLES

Part of: Set theory

Published online by Cambridge University Press:  15 February 2021

GUNTER FUCHS  and
CHRIS LAMBIE-HANSON
GUNTER FUCHS
Affiliation:
THE COLLEGE OF STATEN ISLAND THE CITY UNIVERSITY OF NEW YORK 2800 VICTORY BLVD., STATEN ISLAND, NEW YORK, NY 10314, USA and THE GRADUATE CENTER THE CITY UNIVERSITY OF NEW YORK 365 5TH AVENUE, NEW YORK, NY 10016, USA E-mail: [email protected]
CHRIS LAMBIE-HANSON
Affiliation:
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS VIRGINIA COMMONWEALTH UNIVERSITYRICHMOND, VA23284, USAE-mail: [email protected]
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Abstract

We introduce three families of diagonal reflection principles for matrices of stationary sets of ordinals. We analyze both their relationships among themselves and their relationships with other known principles of simultaneous stationary reflection, the strong reflection principle, and the existence of square sequences.

Keywords

reflection principlessquare sequences

MSC classification

Primary: 03E05: Other combinatorial set theory
Secondary: 03E35: Consistency and independence results 03E55: Large cardinals 03E57: Generic absoluteness and forcing axioms
Type
Article
Information
The Journal of Symbolic Logic , Volume 86 , Issue 1 , March 2021 , pp. 262 - 292
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Copyright
© The Association for Symbolic Logic 2021

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