- #1
heras1985
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I need the demostration of the Taimanov's extension theorem:
This theorem said:
Let A be dense in the T_1-space X. Then in order that a continuos function f from X into a compact space Y have a continuous extension f^*:X\rightarrow Y if and only if that for each two disjoint closed sets F_1 and F_2, f^{-1}[F_1] and f^{-1}[F_2] have disjoint closures in X.
Where can I find the demostration of this theorem?
Thanks
This theorem said:
Let A be dense in the T_1-space X. Then in order that a continuos function f from X into a compact space Y have a continuous extension f^*:X\rightarrow Y if and only if that for each two disjoint closed sets F_1 and F_2, f^{-1}[F_1] and f^{-1}[F_2] have disjoint closures in X.
Where can I find the demostration of this theorem?
Thanks
