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Borsuk's quasi-equivalence is not transitive (CROSBI ID 533093)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

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. et al. (ur.). Zagreb, 2007. str. 28-28-x

Podaci o odgovornosti

Kadlof, Andrzey ; Koceić Bilan, Nikola ; Uglešić Nikica

engleski

Borsuk's quasi-equivalence is not transitive

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.

continuum; ANR; inverse sequence; shape; quasi-equivalence; free product of groups.

nije evidentirano

nije evidentirano

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nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

28-28-x.

2007.

nije evidentirano

objavljeno

Podaci o matičnoj publikaciji

Dubrovnik VI-Geometric Topology

Ivanšić, Ivan ; Keesling, James E. ; Dranishnikov, Alexander N. ; Ungar, Šime

Zagreb:

Podaci o skupu

Geometric Topology

predavanje

30.09.2007-07.10.2007

Dubrovnik, Hrvatska

Povezanost rada

Matematika