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December 1996 Morphisms of inverse systems require meshes
S. Mardesic, N. Uglesic
Tsukuba J. Math. 20(2): 357-363 (December 1996). DOI: 10.21099/tkbjm/1496163086

Abstract

Resolutions of spaces can be viewed as special inverse systems, which behave very much like inverse systems behave in the compact case. T. Watanabe defined a category of polyhedral resolutions and showed that the limit functor defines a natural equivalence between this category and the category of topologically complete spaces. In order to develop his theory he had to consider gauged inverse systems, i.e., inverse systems whose terms are endowed with certain coverings, called meshes. This paper is devoted to the question if one can develop an analogous theory for usual (nongauged) inverse systems. An example is exhibited, which suggests a negative answer.

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S. Mardesic. N. Uglesic. "Morphisms of inverse systems require meshes." Tsukuba J. Math. 20 (2) 357 - 363, December 1996. https://doi.org/10.21099/tkbjm/1496163086

Information

Published: December 1996
First available in Project Euclid: 30 May 2017

zbMATH: 0895.54006
MathSciNet: MR1422625
Digital Object Identifier: 10.21099/tkbjm/1496163086

Rights: Copyright © 1996 University of Tsukuba, Institute of Mathematics

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Vol.20 • No. 2 • December 1996
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