# Taimanov Theorem

1. Jun 4, 2008

### heras1985

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