Filters in topology
id:
filters-in-topology-231-3932983
title:
Filters in topology
text:
Filters in topology, a subfield of mathematics, can be used to study topological spaces and define all basic topological notions such as convergence, continuity, compactness, and more. Filters, which are special families of subsets of some given set, also provide a common framework for defining various types of limits of functions such as limits from the left/right, to infinity, to a point or a set, and many others. Special types of filters called ultrafilters have many useful technical properti
brand slug:
wiki
category slug:
encyclopedia
description:
Use of filters to describe and characterize all basic topological notions and results.
original url:
https://en.wikipedia.org/wiki/Filters_in_topology
date created:
2015-08-13T17:14:14Z
date modified:
2024-09-15T19:16:07Z
main entity:
{"identifier":"Q104901581","url":"https://www.wikidata.org/entity/Q104901581"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/68/Filter_vs_ultrafilter.svg","width":528,"height":415}
fields total:
13
integrity:
16