Studia Logica 84 (3) (2006)
|Abstract||We introduce the horizontal and vertical topologies on the product of topological spaces, and study their relationship with the standard product topology. We show that the modal logic of products of topological spaces with horizontal and vertical topologies is the fusion S4 ⊕ S4. We axiomatize the modal logic of products of spaces with horizontal, vertical, and standard product topologies.We prove that both of these logics are complete for the product of rational numbers ℚ × ℚ with the appropriate topologies.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Guram Bezhanishvili, Leo Esakia & David Gabelaia (2005). Some Results on Modal Axiomatization and Definability for Topological Spaces. Studia Logica 81 (3):325 - 355.
Maarten Marx & Szabolcs Mikulás (2002). An Elementary Construction for a Non-Elementary Procedure. Studia Logica 72 (2):253-263.
Renling Jin (1992). U-Monad Topologies of Hyperfinite Time Lines. Journal of Symbolic Logic 57 (2):534-539.
Dov Gabbay & Valentin Shehtman (2002). Products of Modal Logics. Part 3: Products of Modal and Temporal Logics. Studia Logica 72 (2):157-183.
David Gabelaia, Agi Kurucz, Frank Wolter & Michael Zakharyaschev (2005). Products of 'Transitive' Modal Logics. Journal of Symbolic Logic 70 (3):993 - 1021.
Katalin Bimbó (2007). Functorial Duality for Ortholattices and de Morgan Lattices. Logica Universalis 1 (2).
J. Van Benthem, G. Bezhanishvili, B. Ten Cate & D. Sarenac (2006). Multimodal Logics of Products of Topologies. Studia Logica 84 (3):369 - 392.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads3 ( #201,930 of 549,087 )
Recent downloads (6 months)0
How can I increase my downloads?