On iterated inverse limits (CROSBI ID 100214)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Mardešić, Sibe ; Uglešić, Nikica
engleski
On iterated inverse limits
Let a compact Hausdorff space X be the limit of a cofinite inverse system of compact Hausdorff spaces Xλ, X=limλXλ. Then it is possible to express every Xλ as the limit of an inverse system of compact polyhedra Yλμ, Xλ=limμYλμ, in such a way that the spaces Yν=Yλμ can be organized in an inverse system with limνYν=limλ limμYλμ. Using ANR-resolutions, the result is generalized to non-compact spaces.
inverse limit ; resolution ; ANR ; compact polyhedron
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Podaci o izdanju
120 (1-2)
2002.
157-167
objavljeno
0166-8641
1879-3207
10.1016/S0166-8641(01)00013-X