space is connected iff a continuous function from X to discrete space Y reduces to constant function

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X is connected iff every continuous function from X to discrete space D reduce to constant function. X is connected iff every continuous function from X to discrete space D reduce to constant function.
X is connected iff does not exist continuous surjective function from X to dicrete two point space X is connected iff does not exist continuous surjective function from X to dicrete two point space
Is space continuous or discrete? Is space continuous or discrete?
Every Continuous function from connected space to a discrete space is constant|connected subset Every Continuous function from connected space to a discrete space is constant|connected subset
Local formulation of continuity | Topology | Continuous function Local formulation of continuity | Topology | Continuous function
Connectedness 8 (Topology): Locally Constant Functions Connectedness 8 (Topology): Locally Constant Functions
Domain is Discrete m.s. then function is conti.|L24 | TYBSc Maths |Continuous Functions @ranjankhatu Domain is Discrete m.s. then function is conti.|L24 | TYBSc Maths |Continuous Functions @ranjankhatu
Topology Proof The Constant Function is Continuous Topology Proof The Constant Function is Continuous