Mathematical Logic Quarterly 50 (6):603-612 (2004)

Abstract
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 characterization for classes de.nable by second order existential formulas. The present note deals with topological properties of ultratopologies, like density and compactness
Keywords ultratopology  Ultraproduct  density  compactness
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DOI 10.1002/malq.200310123
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