Studia Logica 84 (3):369-392 (2006)

Authors
Johan Van Benthem
University of Amsterdam
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)
Categories (categorize this paper)
Reprint years 2007
DOI 10.1007/s11225-006-9013-x
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,593
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Two-Dimensional Modal Logic.Krister Segerberg - 1973 - Journal of Philosophical Logic 2 (1):77 - 96.
Products of Modal Logics, Part 1.D. Gabbay & V. Shehtman - 1998 - Logic Journal of the IGPL 6 (1):73-146.
Diodorean Modality in Minkowski Spacetime.Robert Goldblatt - 1980 - Studia Logica 39 (2-3):219 - 236.
A ModalWalk Through Space.Marco Aiello & Johan van Benthem - 2002 - Journal of Applied Non-Classical Logics 12 (3-4):319-363.

View all 7 references / Add more references

Citations of this work BETA

Quantified Modal Logic on the Rational Line.Philip Kremer - 2014 - Review of Symbolic Logic 7 (3):439-454.

View all 21 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
33 ( #334,716 of 2,462,051 )

Recent downloads (6 months)
1 ( #448,768 of 2,462,051 )

How can I increase my downloads?

Downloads

My notes