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Transversal intersection formula for compactaDranišnikov, Aleksandr N., 1958- ; Repovš, Dušan, 1954- ; Ščepin, Evgenij V.Glavni namen članka je predstaviti celovito obravnavo formule za dimenzijo transverzalnih presekov kompaktov v evklidskih prostorih. Nov doprinos je naš dokaz neenakosti ▫${\rm dim} (X\cap Y) \ge ... {\rm dim} (X\times Y)-n$▫ za transverzalno sekajoča se kompakta ▫$X,Y \subset \mathbb R^n$▫, zasnovan na pravilni interpretaciji Čogošvilijevega izreka. Vključen je tudi kratek povzetek nove smeri v teoriji dimenzij, imenovani teorija razširitev, ki jo potrebujemo v našem dokazu.Source: Preprint series. - ISSN 1318-4865 (Let. 35, št. 548, 1997, str. 1-27)Type of material - article, component partPublish date - 1997Language - englishCOBISS.SI-ID - 7317081
Author
Dranišnikov, Aleksandr N., 1958- |
Repovš, Dušan, 1954- |
Ščepin, Evgenij V.
Topics
matematika |
algebrska topologija |
splošna lega kompaktov |
prečni presek |
kohomološka dimenzija |
kompaktni metrični prostor |
aproksimacija z vložitvami |
Čogošvilijeva hipoteza |
razširitvena dimenzija |
poševna ravnina |
mathematics |
algebraic topology |
general position of compacta |
transverzal intersection |
cohomological dimension |
compact metric space |
approximation by embedings |
Čogošvili conjecture |
extensional dimension |
skew plane
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Dranišnikov, Aleksandr N., 1958- | 11660 |
Repovš, Dušan, 1954- | 07083 |
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