Vol. 37, No. 1, 1971

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The transcendental rank of a theory

Alistair H. Lachlan

Vol. 37 (1971), No. 1, 119–122
Abstract

Morley has associated with each countable complete theory T an ordinal αT < (20)+. It is shown that in fact αT ω1 and that this bound is best possible.

Mathematical Subject Classification
Primary: 02H05
Secondary: 02G20
Milestones
Received: 23 April 1970
Published: 1 April 1971
Authors
Alistair H. Lachlan