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Definability problems in elementary topology

Published online by Cambridge University Press:  09 April 2009

Mariko Yasugi
Mariko Yasugi
Affiliation:
The Institute of Information ScienceUniversity of TsukubaSakuramura, IbarakiJapan305
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Abstract

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The elementary part of general topology is carried out in a system which is based on the arithmetically definable theory of the reals with definitions by definable induction (DDI), where a formal object is said to be definable if the quantifiers are restricted to the rationals, the names of the base members and the elements of the spaces.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 3 , June 1983 , pp. 399 - 420
Copyright
Copyright © Australian Mathematical Society 1983

References

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