A Dichotomy Theorem for Mono-Unary Algebras
colorful horizontal rule

Su Gao

Abstract

We study the isomorphism relation of invariant Borel classes of countable mono-unary algebras and prove a strong dichotomy theorem.

Table of Contents

  1. Introduction
  2. Scott Ranks and Automorphisms of Simple Trees
  3. The Dichotomy for Simple Trees
  4. The Main Theorem
  5. Corollaries and Remarks
    References
This paper was published in Fundamenta Mathematicae 163 (2000), 25-37.

Back to Su Gao's Homepage