Closure spaces and characterizations of filters in terms of their Stone images

Title:

Closure spaces and characterizations of filters in terms of their Stone images

Creator:

Mynard, Anh Tran and Mynard, Frédéric

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:96f9c831-8906-4b5b-8c11-b7d8be2d41d5
uuid:96f9c831-8906-4b5b-8c11-b7d8be2d41d5

Subject:

filters, ultrafilters, Frechet, and closure spaces

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1025-1034

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:3

Harvested from:

CDK

Metadata only:

false