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Polish space

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Polish space

[′pōl·ish ′spās]
(mathematics)
A separable metric space which is homeomorphic to a complete metric space.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive
aThe space debris market is just beginning, and we already have Polish companies ready to conquer it,a Grzegorz Brona, the head of the Polish Space Agency (PAK) told Polish dailyA Dziennik.
Called the Heat Flow and Physical Properties Package, it was made by the German Space Agency with the participation of the Polish Space Agency.
Because he is interested in the convergence of semi-martingales to prove the statistical limit theorems for censored data that arise in clinical trials, Mandrekar introduces the Billingsley convergence in a separable metric--the Polish space--and shows the compactness of the sequences of probability measures on Polish space using Prokhorov's the so-called tightness condition, which connects compactness of measures with a compact set having large measures for the whole sequence of probability measures.
In any case of interest, the sequences are elements of [{0,1, ..., 9}.sup.N] or [R.sup.N] and researchers would like to give a criterion that decides for a sequence to be "random." In general, sample spaces that allow a Polish Space structure and a surjective transformation (the shifting transformation) embrace the interesting cases.
The imaginary Poland was Germany's Other: German Burgertum was juxtaposed with the wild, chaotic, and primitive Polish space that was clearly unable to achieve self-organization, let alone an orderly economic and social development.
BRITE-Constellation is in fact a multinational effort that relies on pioneering Canadian space technology and a partnership with Austrian and Polish space researchers-the three countries act as equal partners.
Recall that (X,d) is said to be a Polish space if it is a separable complete metric space.
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