Article

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

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2019en

ABI

Abstract

ÏÎÄÏÐÎÑÒÐÀÍÑÒÂÀ P f (X) ÂÅÐÎßÒÍÎÑÒÍÛÕ ÌÅÐ Àííîòàöèÿ.Â 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,

Topics

Advanced Topology and Set Theory Topological and Geometric Data Analysis Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.26907/0021-3446-2019-10-28-37

Citations and references

Cited by 70 references

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