Authors: Guzmán, Osvaldo
Todorčević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Forcing with copies of the Rado and Henson graphs
Journal: Annals of Pure and Applied Logic
Volume: 174
Issue: 8
First page: 103286
Issue Date: 2023
Rank: ~M21
ISSN: 0168-0072
DOI: 10.1016/j.apal.2023.103286
Abstract: 
If B is a relational structure, define P(B) the partial order of all substructures of B that are isomorphic to it. Improving a result of Kurilić and the second author, we prove that if R is the random graph, then P(R) is forcing equivalent to S⁎R˙, where S is Sacks forcing and R˙ is an ω-distributive forcing that is not forcing equivalent to a σ-closed one. We also prove that P(H3) is forcing equivalent to a σ-closed forcing, where H3 is the generic triangle-free graph.
Keywords: Henson graph | Poset of copies | Random graph | Sacks forcing | Ultrahomogenous graphs
Publisher: Elsevier

Show full item record

SCOPUSTM   
Citations

1
checked on Jul 14, 2024

Page view(s)

32
checked on May 9, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.