#Topology..lecture11#X is disconnected iff there is a cts mapping of Xonto two discrete point space/

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Lec 4.4:(X,d) is disconnected iff there exist a continuous map of(X,d) onto discrete two point space Lec 4.4:(X,d) is disconnected iff there exist a continuous map of(X,d) onto discrete two point space
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space is connected iff a continuous function from X to discrete space Y reduces to constant function space is connected iff a continuous function from X to discrete space Y reduces 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
X is connected iff there does X is connected iff there does't exist surjective cont function from X onto two point discrete space.
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