Compatible relations on filters and stability of local topological properties under supremum and product
arXiv:math/0409609 · doi:10.1016/j.topol.2005.08.008
Abstract
An abstract scheme using particular types of relations on filters leads to general unifying results on stability under supremum and product of local topological properties. We present applications for Frechetness, strong Frechetness, countable tightness and countable fan-tightness, some of which recover or refine classical results, some of which are new. The reader may find other applications as well.
28 pages
Cited by in corpus (5)
- A unified theory of function spaces and hyperspaces: local properties
- Products of compact filters and applications to classical product theorems
- Bornologies and filters in selection principles on function spaces
- When is a category of adherence-determined convergences simple?
- Remarks on metrizability of dual groups