Cardinal characteristics on $\kappa$ modulo non-stationary

TL;DR

This paper introduces variants of classical cardinal characteristics for uncountable regular cardinals, focusing on their behavior modulo the non-stationary ideal, expanding the understanding of set-theoretic properties at higher cardinals.

Contribution

It defines new cardinal characteristics related to the non-stationary ideal on uncountable regular cardinals, providing a framework for their analysis and comparison.

Findings

New variants of cardinal characteristics are introduced.

Results relate these characteristics to classical ones.

Framework for analyzing set-theoretic properties at uncountable cardinals.

Abstract

For $\kappa$ regular and uncountable we define variants of the classical cardinal characteristics modulo the non-stationary ideal.