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The extension problem for complete ▫$UV^n$▫-preimagesAgeev, Sergej Mihajlovič, 1957- ; Repovš, Dušan, 1954- ; Ščepin, Evgenij V.Obravnavamo rešljivost problema razširitve za polne praslike iz danega razreda ▫${\cal F}$▫ surjektivnih perfektnih preslikav metričnih prostorov, ki išče predstavitev poljubne preslikave ▫$f_0: X_0 ... \to Y_0 \in {\cal F}$▫ kot restrikcijo neke druge preslikave ▫$f: X\to Y \in {\cal F}$▫, na polne preslikave ▫$f_0^{-1}(Y_0) = f^{-1}(Y_0)$▫, kjer je ▫$Y$▫ poljuben metrični prostor in ▫$Y_0\subset Y$▫ zaprta podmnožica. Dokažemo, da je ta problem rešljiv za razred odprtih ▫$UV^n$▫-preslikav. Dodatno pa tudi dokažemo, da je ▫$\exp_{UV^n}(\ell_2(\tau))$▫ absolutni retrakt.Source: Tsukuba journal of mathematics. - ISSN 0387-4982 (Let. 23, št. 1, 1999, str. 97-111)Type of material - article, component partPublish date - 1999Language - englishCOBISS.SI-ID - 8981849
Author
Ageev, Sergej Mihajlovič, 1957- |
Repovš, Dušan, 1954- |
Ščepin, Evgenij V.
Topics
matematika |
topologija |
razširitveni problem |
absolutni okoliški retrakt |
posplošeni Hilbertov prostor |
▫$UV^n$▫-kompakt |
monotona odprta preslikava |
mathematics |
topology |
extension problem |
absolute neighborhood retract |
generalized Hilbert space |
▫$UV^n$▫-compactum |
monotone open map
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Database name | Field | Year |
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Ageev, Sergej Mihajlovič, 1957- | 15530 |
Repovš, Dušan, 1954- | 07083 |
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