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Geometrical and topological properties of a subspace Pf (X) of probability measures

Tashkent Instute of Architecture and Civil EngineeringTashkent Instute of Architecture and Civil Engineering, 13 Navoi str., Tashkent, 100011 Uzbekistan,Adilbek Atakhanovich Zaitov
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ÏÎÄÏÐÎÑÒÐÀÍÑÒÂÀ P f (X) ÂÅÐÎßÒÍÎÑÒÍÛÕ ÌÅÐ Àííîòàöèÿ. ðàáîòå äîêàçàíî, ÷òî äëÿ êîìïàêòà X ïðîñòðàíñòâî P f (X) ÿâëÿåòñÿ àáñîëþòíûì îêðåñòíîñòíûì ðåòðàêòîì òîãäà è òîëüêî òîãäà, êîãäà X ÿâëÿåòñÿ àáñîëþòíûì îêðåñòíîñòíûì ðåòðàêòîì.Ïîêàçàíî, ÷òî ôóíêòîð P f ñîõðàíÿåò ñâîéñòâî êîìïàêòà áûòü Q-ìíîãîîáðàçèåì èëè ãèëüáåðòîâûì êèðïè÷îì,

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