Connectedness is a Topological Invariant
# Statement
Suppose $X, Y$ are Topological Spaces and $X \cong Y$. Then $X$ is Connected If and Only If $Y$ is.
# Proof
Continuous Functions Preserve Connectedness $\blacksquare$
Search
Suppose $X, Y$ are Topological Spaces and $X \cong Y$. Then $X$ is Connected If and Only If $Y$ is.
Continuous Functions Preserve Connectedness $\blacksquare$