Topological space is disconnected iff it has a nonempty proper subset which is both open and closed

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topological space is disconnected iff X contains a non empty subset A which is both open and closed topological space is disconnected iff X contains a non empty subset A which is both open and closed
Definition 1.1. A topological space (X,T) is disconnected if and only if there exist disjoint, non-… Definition 1.1. A topological space (X,T) is disconnected if and only if there exist disjoint, non-…
A TOPOLOGICAL SPACE IS CONNECTED IF IT HAS NO NON EMPTY PROPER SUBSET WHICH IS BOTH OPEN AND CLOSED A TOPOLOGICAL SPACE IS CONNECTED IF IT HAS NO NON EMPTY PROPER SUBSET WHICH IS BOTH OPEN AND CLOSED
Msc Math A topological space is disconnected iff it contain a subset which is both open and closed Msc Math A topological space is disconnected iff it contain a subset which is both open and closed
2. Metric space is disconnected iff there exist a set which is both open & closed | in Hindi 2. Metric space is disconnected iff there exist a set which is both open & closed | in Hindi
A topological space x is disconnected if x contain a non empty subset A . which is both open closed A topological space x is disconnected if x contain a non empty subset A . which is both open closed
A topological space is connected if and only if every non-empty proper subset has non-empty boundary A topological space is connected if and only if every non-empty proper subset has non-empty boundary
Definition of Disconnected Space Definition of Disconnected Space