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Borsuk's quasi-equivalence is not transitive


Kadlof, Andrzey; Koceić Bilan, Nikola; Uglešić Nikica
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)


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.-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 R&sup3 ; 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


Projekt / tema
177-0372791-0886 - Grubi oblik i klasifikacija natkrivanja (Vlasta Matijević, )

Ustanove
Prirodoslovno-matematički fakultet, Split