Prove that in a hausdorff space every convergent sequence has a unique limit .|| Topology -1 ||

#Topology #msc1stsem #mscmath
Subject : Mathematics ( Topology)
If you want handwritten notes.
dm me on what's app
What's app 7987084690
thanks

[@KISMAMAcademy9th10th]

If (X , T1) ,( Y , T2) are two topological spaces and let f : X --> Y be one-one, onto. Then
prove that f is homeomorphism iff f (A bar) = f (A) Whole bar for all A subset X