Definition 1.1. A topological space (X,T) is disconnected if and only if there exist disjoint, non-…

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Text: Definition Let (X,T) be a topological space. (1) X is a T1-space if and only if for every pai… Text: Definition Let (X,T) be a topological space. (1) X is a T1-space if and only if for every pai…
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
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
Topological space is disconnected iff it has a nonempty proper subset which is both open and closed Topological space is disconnected iff it has a nonempty proper subset which is both open and closed
Intro to connected spaces Intro to connected spaces
Theorems on connectedness Part 1 Theorems on connectedness Part 1
Connected and disconnected topological spaces. Connected and disconnected topological spaces.
Locally Connected Space Locally Connected Space