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Homotopy type of the complement of an immersion and classification of embeddings of toriCencelj, Matija, 1958- ; Repovš, Dušan, 1954- ; Skopenkov, Mikhail, 1983-Članek je posvečen klasifikaciji vložitev mnogoterosti višjih dimenzij. Preučujemo primer vložitev $▫S^p\times S^q\to S^m$▫, ki jih imenujemo zavozlani torusi. Množica vseh zavozlanih torusov v ... prostoru dovolj visoke dimenzije, namreč v metastabilnem rangu ▫$m\ge p+3q/2+2$▫, ▫$p\le q$▫, ki je naravna meja za klasične metode teorije vložitev, je bila doslej že eksplicitno opisana. Namen tega članka je predstaviti pristop, ki omogoča rezultate v nižjih dimenzijah.Source: Russian Mathematical Surveys. - ISSN 0036-0279 (Vol. 62, no. 5, 2007, str. 985-987)Type of material - article, component partPublish date - 2007Language - englishCOBISS.SI-ID - 14574425
Author
Cencelj, Matija, 1958- |
Repovš, Dušan, 1954- |
Skopenkov, Mikhail, 1983-
Topics
matematika |
topologija |
imerzija |
vložitev |
mnogoterost |
zavozlani torus |
splet |
metastabilen rang |
mathematics |
topology |
immersion |
embedding |
mnogoterost |
knotted torus |
lin |
metastable rang
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Cencelj, Matija, 1958- | 03342 |
Repovš, Dušan, 1954- | 07083 |
Skopenkov, Mikhail, 1983- | ![]() |
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