Connected Set
Overview
Definition
Let {% M %} be a topological space. {% M %} is called connected if there do not exist two open sets, {% M_1 %}, {% M_2 %} such that
{% M_1 \cap M_2 = \emptyset %} and
{% M = M_1 \cup M_2 %}
Related Theorems
let
{% f:M \rightarrow N %}
be a continuous map between topological spaces. Then, {% f(M) %} is connected when {% M %} is connected.
