Refine search
Actions for selected content:
2 results
Condensations with extra properties
- Part of
-
- Journal:
- Canadian Mathematical Bulletin , First View
- Published online by Cambridge University Press:
- 26 January 2026, pp. 1-7
-
- Article
-
- You have access
- Open access
- HTML
- Export citation
-
We show that there are locally compact spaces that can be condensed on separable spaces, but not on compact separable spaces. We also show that for every cardinal
$\kappa ,$ there is a locally compact topological group of cardinality 
$2^\kappa $ that can be condensed on a compact space but not on a compact topological group. These answer some questions of Arhangel’skii and Buzyakova.
THE MCKINSEY–TARSKI THEOREM FOR LOCALLY COMPACT ORDERED SPACES
- Part of
-
- Journal:
- Bulletin of Symbolic Logic / Volume 27 / Issue 2 / June 2021
- Published online by Cambridge University Press:
- 29 April 2021, pp. 187-211
- Print publication:
- June 2021
-
- Article
- Export citation
-
We prove that the modal logic of a crowded locally compact generalized ordered space is
$\textsf {S4}$. This provides a version of the McKinsey–Tarski theorem for generalized ordered spaces. We then utilize this theorem to axiomatize the modal logic of an arbitrary locally compact generalized ordered space.
