About this document
Nets and Filters in Topology by dgtv6rnyv4 is a document available to read on EtoBox.
This document introduces nets and filters as more general concepts than sequences to describe convergence in topological spaces. Nets are functions from a directed set to a topological space. Filters are collections of sets with certain properties. Both nets and filters provide a more powerful notion of convergence than sequences alone. With nets and filters, implications about convergence that do not reverse for sequences are shown to reverse. Nets and filters allow topological properties to be fully cap
- Author
- dgtv6rnyv4
- Language
- EN