engleski

A note on the wc-mappings

Let X be a topological T_2 space. By wX we denote the Wallman compactification of X. A mapping f : X—>Y is a wc-mapping if f has an unique closed extension wf : wX-»wY. The main purpose of this paper is to give some external and internal characterizations of the wc-mappings. The main theorem establishes that if Y is a Hausdorff Frechet space then f is a wc-mapping iff f is an uw-mapping.

Wallman compactification; wc-mapping

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