The transcendental rank of a theory

Alistair H. Lachlan

Vol. 37 (1971), No. 1, 119–122

DOI: 10.2140/pjm.1971.37.119

Abstract

Morley has associated with each countable complete theory T an ordinal α_T < (2^ℵ₀)⁺. It is shown that in fact α_T ≦ ω₁ and that this bound is best possible.

Mathematical Subject Classification

Primary: 02H05

Secondary: 02G20

Milestones

Received: 23 April 1970

Published: 1 April 1971