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state and prove Tietze extension theorem in metric space


mohdasif80763 24th Aug, 2022
Answer (1)
raj kumar 24th Aug, 2022

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

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