H. Tuncali

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20012003

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math.GN2003

Extensional dimension and completion of maps

H. Murat Tuncali, E. D. Tymchatin, Vesko Valov

We prove that any closed map between metrizable spaces can be extended to a closed map between completely metrizable spaces with the same extensional dimension.

math.GN2003

On Regularly Branched Maps

H. Murat Tuncali, Vesko Valov

Let $f : X \to Y$ be a perfect map between finite-dimensional metrizable spaces and $p \geq 1$ . It is shown that the space $C^{*} (X, R^{p})$ of all bounded maps from $X$ into $R^{p}$ …