Tree-like constructions in topology and modal logic

Open Access
Authors
Publication date 05-2021
Journal Archive for Mathematical Logic
Volume | Issue number 60 | 3-4
Pages (from-to) 265–299
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract Within ZFC, we develop a general technique to topologize trees that provides a uniform approach to topological completeness results in modal logic with respect to zero-dimensional Hausdorff spaces. Embeddings of these spaces into well-known extremally disconnected spaces then gives new completeness results for logics extending S4.2.
Document type Article
Language English
Published at https://doi.org/10.1007/s00153-020-00743-6
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