Asaf Karagila

activity

20122026

most citedThe Bristol Model: an abyss called a Cohen real

21 citations · 88 across the 30 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.LO2023★ 4 cited

Which Pairs of Cardinals Can Be Hartogs and Lindenbaum Numbers of a Set?

Asaf Karagila, Calliope Ryan-Smith

Given any $λ \leq κ$ , we construct a symmetric extension in which there is a set $X$ such that $ℵ (X) = λ$ and $ℵ^{*} (X) = κ$ . Consequently, we show that $ZF +$ "For all pa…

math.LO2023

Hilbert Spaces Without Countable AC

Bruce Blackadar, Ilijas Farah, Asaf Karagila

This article examines Hilbert spaces constructed from sets whose existence is incompatible with the Countable Axiom of Choice (CC). Our point of view is twofold: (1) We examine wha…