
Summary: This paper is concerned with topological set theory, and particularly with Skala's and Manakos' systems, for which we give a topological characterization of the models. This enables us to answer natural questions about those theories, reviewing previous results and proving new ones. One of these shows that Skala's set theory is in a sense compatible with any normal set theory, and another appears on the semantic side as a Cantor theorem for the category of Alexandroff spaces.
Logique mathématique, groupes de lie, groupes topologiques, Connections of general topology with other structures, applications, Nonclassical and second-order set theories, Skala's set theory, topological models, Topologie générale, groupes topologiques, groupes de lie, Topologie générale
Logique mathématique, groupes de lie, groupes topologiques, Connections of general topology with other structures, applications, Nonclassical and second-order set theories, Skala's set theory, topological models, Topologie générale, groupes topologiques, groupes de lie, Topologie générale
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