Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron II (CROSBI ID 151309)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Mardešić, Sibe
engleski
Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron II
In 2003 the author has associated with every cofinite inverse system of compact Hausdorff space X with limit X and every simplicial complex K (possibly infinite) with geometric realization P=|K| a resolution R(X, K) of X x P, which consists of paracompact spaces. If X consists of compact polyhedra, then R(X, K) consists of spaces having the homotopy type of polyhedra. In a subsequent paper the author proved that R(X, K) is a covariant functor in the first variable. In the present paper it is proved that R(X, K) is a covariant functor also in the second variable.
Inverse system ; inverse limit ; resolution ; Cartesian product ; simplicial mapping ; simplicial approximation ; shape.
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Podaci o izdanju
155 (15)
2008.
1708-1719
objavljeno
0166-8641
1879-3207
10.1016/j.topol.2008.05.008