Borsuk's quasi-equivalence is not transitive (CROSBI ID 533065)
Prilog sa skupa u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kadlof, Andrzey ; Koceić-Bilan, Nikola ; Uglešić, Nikica
engleski
Borsuk's quasi-equivalence is not transitive
Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in R-3 are constructed such that X is quasi- equivalent to Y and 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
215-227.
2007.
nije evidentirano
objavljeno
10.4064/fm197-0-9
Podaci o matičnoj publikaciji
Fundamenta mathematicae
0016-2736
1730-6329
Podaci o skupu
Nepoznat skup
poster
29.02.1904-29.02.2096