1 citations · 1 across the 5 of their papers we have counts for
5 papers
Free Left Distributive Algebras and a Canonical Extension
Scott Cramer, Meng-Che "Turbo" Ho, Sheila K. Miller Edwards +1
Assuming a large cardinal hypothesis, Laver gave a representation of the monogenerated free left distributive algebra (LDA) using elementary embeddings and used this representation…
Preservation of AD via forcings
Daisuke Ikegami, Nam Trang
We show that assuming "", any poset which increases does not preserve the truth of . We…
On supercompactness of
Daisuke Ikegami, Nam Trang
This paper studies structural consequences of supercompactness of under . We show that the Axiom of Dependent Choice follows from " is supercompact"…
Determinacy from strong compactness of
Nam Trang, Trevor Wilson
In the absence of the Axiom of Choice, the "small" cardinal can exhibit properties more usually associated with large cardinals, such as strong compactness and supercompactne…
On a class of maximality principles
Daisuke Ikegami, Nam Trang
We study various classes of maximality principles, , introduced by J.D. Hamkins, where defines a class of forcing posets and is a cardinal. We explore the con…