Original scientific paper

https://doi.org/10.3336/gm.55.2.12

Čech systems and approximate inverse systems

Vlasta Matijević ; Department of Mathematics, Faculty of Science, University of Split, 21 000 Split, Croatia
Leonard R. Rubin ; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA

Abstract

We generalize a result of the first author who proved that the Čech system of open covers of a Hausdorff arc-like space cannot induce an approximate system of the nerves of these covers under any choices of the meshes and the projections.

Keywords

Approximate inverse system, arc-like, Čech system, normal cover, perfect space, simple chain

Hrčak ID:

248672

URI

https://hrcak.srce.hr/248672

Publication date:

23.12.2020.

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