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Transversal intersection formula for compacta
Dranišnikov, 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.
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