Question

Q. 4 Show that a subset A SR in metric space R is connected if and only if it is an
interval.
सिद्ध करो कि उपसमुच्चय ACR दूरिक समष्टि R में सम्बद्ध है। यदि और केवल यदि यह
अंतराल है।​

Answer 1

Step-by-step explanation:

A metric space (X, ϱ) is said to be complete if every Cauchy sequence (xn) in (X, ϱ) converges to a limit α ∈ X. There are incomplete metric spaces. If a metric space (X, ϱ) is not complete then it has Cauchy sequences that do not converge. This means, in a sense, that there are gaps (or missing elements) in X...

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