1. Closure spaces and characterizations of filters in terms of their Stone images
- Creator:
- Mynard, Anh Tran and Mynard, Frédéric
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- filters, ultrafilters, Frechet, and closure spaces
- Language:
- English
- Description:
- Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filters (i.e., neighborhood filters in spaces of the same name) are characterized in a unified manner in terms of their images in the Stone space of ultrafilters. These characterizations involve closure structures on the set of ultrafilters. The case of productively Fréchet filters answers a question of S. Dolecki and turns out to be the only one involving a non topological closure structure.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public