James N. Holland

most citedWeak Indestructibility and Reflection

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2023

On $ω$ -strongly measurable cardinals in $P_{m a x}$ extensions

Navin Aksornthong, Takehiko Gappo, James Holland +1

We show that in the $P_{m a x}$ extension of a certain Chang-type model of determinacy, if $κ \in {ω_{1}, ω_{2}, ω_{3}}$ , then the restriction of the club filter on $κ\cap\mathrm…

math.LO2022

Forcing More DC Over the Chang Model Using the Thorn Sequence

James Holland, Grigor Sargsyan

In the context of $ZF + DC$ , we force $DC_{κ}$ for relations on $P (κ)$ for $κ < ℵ_{ω}$ over the Chang model $L (Ord^{ω})$ making so…

math.LO2022★ 1 cited

Weak Indestructibility and Reflection

James Holland

This work is a part of my upcoming thesis [7]. We establish an equiconsistency between (1) weak indestructibility for all $κ + 2$ -degrees of strength for cardinals $κ$ in the presenc…

On ω-strongly measurable cardinals in Pmax​ extensions

Forcing More DC Over the Chang Model Using the Thorn Sequence

Weak Indestructibility and Reflection

On $ω$ -strongly measurable cardinals in $P_{m a x}$ extensions