Polish space


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Polish space

[′pōl·ish ′spās]
(mathematics)
A separable metric space which is homeomorphic to a complete metric space.
References in periodicals archive ?
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.
Airbus is also a large contributor to the Polish space activities.
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.
The focus on representations of space brings to the lore how the novel constructs a structured, unified German space and an unstructured, uncivilized Polish space.
Recall that (X,d) is said to be a Polish space if it is a separable complete metric space.
Theorem 8 (Itoh, 1977): LetX be a Polish space, and T: [OMEGA]x X [right arrow] X be a mapping such that for each [omega] [member of] [OMEGA] the function T([omega],.
Of the Polish Air Navigation Services Agency, provides safe, continuous, smooth and efficient air navigation in the Polish space by the performance of providers air navigation services, airspace management and air traffic flow management.
Xiao, Random periodic point and fixed point results for random monotone mappings in ordered Polish spaces, Fixed Point Theory and Appl.
Classes of Polish Spaces Under Effective Borel Isomorphisms
The topics include the strongly bounded Turing degrees of simple sets, recursive aspects of diophantine properties of Brownian motion, complexity issues for pre-orders on finite labeled forests, Lipschitz and uniformly continuous reducibilities on ultrametric Polish spaces, the equivalence of paraconsistent and explosive versions of Nelson logic, and an isomorphism theorem for partial numberings.
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