Borsuk's quasi-equivalence is not transitive (CROSBI ID 533093)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
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 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.
continuum; ANR; inverse sequence; shape; quasi-equivalence; free product of groups.
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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