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On topological spaces equivalent to ordinals

Published online by Cambridge University Press:  12 March 2014

Jörg Flum  and
Juan Carlos Martinez
Jörg Flum
Affiliation:
Mathematisches Institut, Albert-Ludwigs-Universität, 78 Freiburg, West Germany
Juan Carlos Martinez
Affiliation:
Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain
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Abstract

Let L be one of the topological languages Lt, (L∞ω)t and (Lκω)t. We characterize the topological spaces which are models of the L-theory of the class of ordinals equipped with the order topology. The results show that the role played in classical model theory by the property of being well-ordered is taken over in the topological context by the property of being locally compact and scattered.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 3 , September 1988 , pp. 785 - 795
Copyright
Copyright © Association for Symbolic Logic 1988

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References

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