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Ultratopologies
Author(s) -
Sági Gábor,
Gerlits János
Publication year - 2004
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310123
Subject(s) - mathematics , characterization (materials science) , compact space , existentialism , order (exchange) , pure mathematics , set (abstract data type) , topology (electrical circuits) , combinatorics , epistemology , computer science , physics , philosophy , finance , optics , economics , programming language
The notion of ultratopologies was introduced in [6] motivated by the model theory of first and higher order logics. In [6] we established some model theoretical applications of ultratopologies, for example, we provided a purely set theoretical (or topological) characterization for classes de.nable by second order existential formulas. The present note deals with topological properties of ultratopologies, like density and compactness. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)