Pregled bibliografske jedinice broj: 321820
Borsuk's quasi-equivalence is not transitive
Borsuk's quasi-equivalence is not transitive // Dubrovnik VI-Geometric Topology / Ivanšić, Ivan ; Keesling, James E. ; Dranishnikov, Alexander N. ; Ungar, Šime (ur.).
Zagreb, 2007. str. 28-28 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Borsuk's quasi-equivalence is not transitive
Autori
Kadlof, Andrzey ; Koceić Bilan, Nikola ; Uglešić Nikica
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Dubrovnik VI-Geometric Topology
/ Ivanšić, Ivan ; Keesling, James E. ; Dranishnikov, Alexander N. ; Ungar, Šime - Zagreb, 2007, 28-28
Skup
Geometric Topology
Mjesto i datum
Dubrovnik, Hrvatska, 30.09.2007. - 07.10.2007
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
continuum; ANR; inverse sequence; shape; quasi-equivalence; free product of groups.
Sažetak
The Borsuk relation of quasi-equivalence on the class of all compacta is considered. The open problem concerning transitivity of the quasi-equivalence is solved in the negative. Namely, three continua X, Y and Z lying in R³ ; are constructed such that X is quasi-equivalent to Yand Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-0372791-0886 - Grubi oblik i klasifikacija natkrivanja (Matijević, Vlasta, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
