state and prove Tietze extension theorem in metric space
Dear aspirant!
Hope you are doing well !
Proof of the theorem Is difficult to show here but here is the statement of the Theorem ;-
In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem) states that continuous functions on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary ..
Hope it helps you !
Thanks