The cofinality of the strong measure zero ideal for $\kappa$ inaccessible

TL;DR

This paper explores the cofinality of the strong measure zero ideal for an inaccessible cardinal , demonstrating its independence from the cardinality of the continuum at .

Contribution

It establishes the independence of the cofinality of the strong measure zero ideal from the size of 2^ for inaccessible cardinals.

Findings

Cofinality of the ideal is independent of 2^.

Provides new insights into measure ideals at inaccessible cardinals.

Advances understanding of set-theoretic properties of large cardinals.

Abstract

We investigate the cofinality of the strong measure zero ideal for $\kappa$ inaccessible, and show that it is independent of the size of $2^\kappa$.