Year: 2023
Type: preprint
Abstract: We find bounds for the maximal length of a sequence of distinct $\bf{Γ_{2n+1,m}}$-sets under $AD$ and show there is no sequence of distinct $\bf{Γ_{2n+1}}$-sets of length $\bf{δ^1_{2n+3}}$. As a special case, there is no sequence of distinct $\bf{Γ_{1,m}}$-sets of length $\aleph_{m+2}$. These are the optimal results for the pointclasses $\bf{Γ_{2n+1}}$ and $\bf{Γ_{1,m}}$.
Source: arXiv (Cornell University)
Author: Levinson, Derek
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4389325636