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Gavajskie gruppy topologičeskih prostranstvKarimov, Umed H., 1951- ; Repovš, Dušan, 1954-Konstruiamo novo algebraično invarianto ▫${\mathcal{H}}_n(X,x_0)$▫ za topološke prostore z bazno točko ▫$(X,x_0)$▫. S pomočjo te invariante dobimo karakterizacijo Peanovih kontinuumov v kategoriji ... kompaknih metričnih prostorov ter karakterizacijo absolutnih (okoličnih) retraktov v kategoriji končno-dimenzionalnih kompaktnih metrizabilnih prostorov. Dokažemo tudi, da obstaja nekontraktibilen celičast kompakt s trivialnimi graupami ▫${\mathcal{H}}_n(X,x_0)$▫ za vse ▫$x \in \mathbb N$▫ in vse bazne točke ▫$x_0 \in X$▫.Source: Preprint series. - ISSN 1318-4865 (Vol. 42, št. 926, 2004, str. 1-4)Type of material - article, component partPublish date - 2004Language - russianCOBISS.SI-ID - 13137241
Author
Karimov, Umed H., 1951- |
Repovš, Dušan, 1954-
Topics
matematika |
topologija |
▫$n$▫-dimenzionalna havajska množica |
šibki direktni produkt grup |
homotopska grupa |
havajska grupa |
absolutni okolični retrakt |
kontinuum |
lokalna ▫$n$▫-povezanost |
celičasti kompakt |
kontraktibilnost |
mathematics |
topology |
▫$n$▫-dimensional Hawaiian set |
weak direct product of groups |
homotopy group |
Hawaiian group |
absolute neighborhood retract |
continuum |
local ▫$n$▫-connectedness |
cell-like compactum |
contractbility
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Karimov, Umed H., 1951- | ![]() |
Repovš, Dušan, 1954- | 07083 |
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