#Topology...lecture12 //X is connected iff every cts fxn from X onto discrete pt. space {0,1}is ctt/

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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.
Weird Topological Spaces // Connected vs Path Connected vs Simply Connected Weird Topological Spaces // Connected vs Path Connected vs Simply Connected
#Topology..lecture11#X is disconnected iff there is a cts mapping of Xonto two discrete point space/ #Topology..lecture11#X is disconnected iff there is a cts mapping of Xonto two discrete point space/
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
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 there does X is connected iff there does't exist surjective cont function from X onto two point discrete space.
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
Let X be a topological space.Show that X is connected iff X is an interval Let X be a topological space.Show that X is connected iff X is an interval