Glasnik Matematicki, Vol. 35, No.2 (2000), 245-259.


Nikica Uglešić

Department of Mathematics, University of Split, Teslina 12, 21000 Split, Croatia

Abstract.   Recently S. Mardešić and the author considered iterated limits in the compact case. Using ANR-resolutions, they also generalized their results to non-compact spaces. This paper gives an analogous polyhedral result in the general case. More precisely, for a given resolution of a topological space, polyhedral resolutions of its terms are constructed in a way that one can organize them naturally to obtain a polyhedral resolution of the same space.

1991 Mathematics Subject Classification.   54B35.

Key words and phrases.   Inverse limit, resolution, polyhedron, canonical mapping.

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