Some metalogical properties for infinitary predicate topological logic

Abstract

We prove completeness, interpolation and omitting types for certain predicate topological logics that properly extend the first order case. We aslo count the non isomorphic topological models of a countable theory

arXiv commentarXiv admin note: substantial text overlap with arXiv:1302.1368, arXiv:1304.0619, arXiv:1304.1149, arXiv:1304.0883