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The complement ▫$Q_E(n)$▫ of the point Eucl of Euclidean space in the Banach-Mazur compactum ▫$Q(n)$▫ is a ▫$Q$▫-manifoldAgeev, Sergej Mihajlovič, 1957- ; Bogatyj, Semeon Antonovič ; Repovš, Dušan, 1954-Banach-Mazurjev kompakt ▫$Q(n), n \ge 2$▫, je prostor vseh izometričnih razredov ▫$n$▫-dimenzionalnih Banachovih prostorov. Znano je, da ▫$Q(2)$▫ ni homeomorfen Hilbertovi kocki in da je ▫$Q_E(2) = ... Q(2) \setminus \{\mathrm{Eucl}\}$▫ ▫$Q$▫-mnogoterost. V tem članku je orisan dokaz novega rezultata, da je tudi za ▫$n \ge 3$▫, ▫$Q_E(n) = Q(n) \setminus \mathrm{Eucl}$▫ ▫$Q$▫-mnogoterost. S tem je popolnoma rešen znameniti problem,ki ga je v šestdesetih letih prejšnjega stoletja postavila poljska šola.Source: Russian Mathematical Surveys. - ISSN 0036-0279 (Vol. 58, no. 3, 2003, str. 607-609)Type of material - article, component partPublish date - 2003Language - englishCOBISS.SI-ID - 12667993
Author
Ageev, Sergej Mihajlovič, 1957- |
Bogatyj, Semeon Antonovič |
Repovš, Dušan, 1954-
Topics
matematika |
topologija |
Banach-Mazurjev kompakt |
▫$Q$▫-mnogoterost |
eliptična konveksnost |
ekstremna točka |
Löwnerjev elipsoid |
mathematics |
topology |
Banach-Mazur compactum |
▫$Q$▫-manifold |
elliptic convexity |
Löwner ellipsoid |
extremal point
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Database name | Field | Year |
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Ageev, Sergej Mihajlovič, 1957- | 15530 |
Bogatyj, Semeon Antonovič | ![]() |
Repovš, Dušan, 1954- | 07083 |
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