Let (X, Tx) represent a topological space and {a} a singleton set, which is an open subset of X, {a} E TX. Show that any function f:X Y (1) where (Y, Ty) is any topological space, is continuous at a EX.

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Let (X, Tx) represent a topological space and {a} a singleton set, which
is an open subset of X, {a} ETy. Show that any function
f:X Y
(1)
where (Y, Ty) is any topological space, is continuous at a EX.
Transcribed Image Text:Let (X, Tx) represent a topological space and {a} a singleton set, which is an open subset of X, {a} ETy. Show that any function f:X Y (1) where (Y, Ty) is any topological space, is continuous at a EX.
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