connectedness is preserved under a continuous map
The inclusion map for spaces and shows that we need to assume that the map is surjective. Othewise, we can only prove that is connected. See this page (http://planetmath.org/IfFcolonXtoYIsContinuousThenFcolonXtoFXIsContinuous).
contradicting the assumption that is connected.
|Title||connectedness is preserved under a continuous map|
|Date of creation||2013-03-22 13:55:59|
|Last modified on||2013-03-22 13:55:59|
|Last modified by||drini (3)|