Condensation for Mouse Pairs

TL;DR

This paper proves a fine condensation theorem for mouse pairs, incorporating condensation for iteration strategies, advancing the theoretical understanding of extender mice in set theory.

Contribution

It introduces a novel condensation theorem that includes iteration strategies, extending previous results for pure extender mice.

Findings

Established a new fine condensation theorem for mouse pairs.

Integrated condensation for iteration strategies into the theorem.

Enhanced the theoretical framework for extender mice.

Abstract

In this paper, we prove a fine condensation theorem. This is quite similar to condensation theorems for pure extender mice in the literature, except that condensation for iteration strategies has been added to the mix.