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NaslovČech systems and approximate inverse systems / Vlasta Matijević, Leonard R. Rubin.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisWe 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.
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NaslovApproximate inverse limits and (m,n)-dimensions / Matthew Lynam, Leonard R. Rubin.
Način izrade datotekeizvorno digitalna građa
Vrstačlanak
OpisIn 2012, V. Fedorchuk, using m-pairs and n-partitions, introduced the notion of the (m,n)-dimension of a space. It generalizes covering dimension. Here we are going to look at this concept in the setting of approximate inverse systems of compact metric spaces. We give a characterization of (m,n)-dim X, where X is the limit of an approximate inverse system, strictly in terms of the given system.
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2 (1-10)