Separated sets - Relation to connected spaces - Article Index

Encyclopedia - Separated Sets: Encyclopedia - Separated Sets
In topology and related branches of mathematics, separated sets are pairs of subsets of a given topological space that are related to eac...   » Read the article

Encyclopedia - Separated Sets: Encyclopedia Ii - Separated Sets - Relation To Connected Spaces
Given a topological space X, it is sometimes useful to consider whether it is possible for a subset A to be separated from its complement...   » Read the article

Encyclopedia - Separated Sets: Encyclopedia Ii - Separated Sets - Definitions
There are various versions of the concept. The terms are defined below, where X is a topological space. First, two subsets A and B of X a...   » Read the article

Encyclopedia - Separated Sets: Encyclopedia Ii - Separated Sets - Relation To Separation Axioms And Separated Spaces
The separation axioms are various conditions that are sometimes imposed upon topological spaces which can be described in terms of the va...   » Read the article