PP-2005-14: Sustretov, Dmitry (2005) Hybrid Definability in Topological Spaces. [Report]
Preview |
Text (Full Text)
PP-2005-14.text.pdf Download (218kB) | Preview |
Text (Abstract)
PP-2005-14.abstract.txt Download (675B) |
Abstract
We present some results concerning definability of classes of
topological spaces in hybrid languages. We use language $L_t$
described in Flum and Ziegler's monograph "Topological Model Theory"
to establish notion of ``elementarity'' for classes of topological
spaces. We use it to prove the analogue of Goldblatt-Thomason theorem
in topological spaces for hybrid languages $H(E)$ and $H(@)$. We also
prove a theorem that allows to reformulate definability result of
Gabelaia for modal logic in terms of elementary topological space
classes.
Item Type: | Report |
---|---|
Report Nr: | PP-2005-14 |
Series Name: | Prepublication (PP) Series |
Year: | 2005 |
Uncontrolled Keywords: | hybrid logic, topology, definability, correspondence |
Subjects: | Logic |
Date Deposited: | 12 Oct 2016 14:36 |
Last Modified: | 12 Oct 2016 14:36 |
URI: | https://eprints.illc.uva.nl/id/eprint/159 |
Actions (login required)
View Item |