Forcing Constructions and Countable Borel
Equivalence Relations
Su Gao,
Steve Jackson, Edward Krohne, and Brandon Seward
Abstract
We prove a number of results about countable Borel equivalence relations with forcing constructions and
arguments. These results reveal hidden regularity properties of Borel complete sections on certain orbits. As consequences
they imply the nonexistence of Borel complete
sections with certain features.
Table of Contents
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1. Introduction 2. Preliminaries 3. Orbit Forcing 4. Borel Layered Toast 5. Cohen Forcing and Bounded Geometry of Marker Regions 6. Minimal 2-coloring Forcing 7. Grid Periodicity Forcing References |