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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The interior operator logic and product topologies


Author: Joseph Sgro
Journal: Trans. Amer. Math. Soc. 258 (1980), 99-112
MSC: Primary 03C80
MathSciNet review: 554321
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Abstract: In this paper we present a model theory of the interior operator on product topologies with continuous functions. The main results are a completeness theorem, an axiomatization of topological groups, and a proof of an interpolation and definability theorem.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0554321-4
PII: S 0002-9947(1980)0554321-4
Article copyright: © Copyright 1980 American Mathematical Society