On Topological Properties of the Hartman-mycielski Functor
نویسنده
چکیده
(compacta) and continuous mappings was founded by Shchepin [Sh]. He described some elementary properties of such functors and defined the notion of the normal functor which has become very fruitful. The classes of all normal and weakly normal functors include many classical constructions: the hyperspace exp, the space of probability measures P, the superextension λ , the space of hyperspaces of inclusion G, and many other functors (see [FZ] and [TZ]). Let X be a space and d an admissible metric on X bounded by 1. By HMX we shall denote the space of all maps from [0,1) to the space X such that f |[ti,ti+1) ≡ const, for some 0 = t0 ≤ ·· · ≤ tn = 1, with respect to the following metric:
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