let $(x, au), (y,\sigma)$ be two topological spaces. we say that a map $f: \mathcal{p}(x) o \mathcal{p}(y)$ between their power sets is connected if for every $s\subset x$ connected, $f(s)\subset y$ ... general-topology metric-spaces examples-counterexamples connectedness modified nov ' at : viktor glombik...
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