The combinatorics of Borel covers

Details The combinatorics of Borel covers The combinatorics of Borel covers

2003-02-26

arxiv.org/abs/math/0302322v4

Topology and its Applications 121 (2002), 357--382

Mathematics

General Topology

Regular update

Scientific paper

10.1016/S0166-8641(01)00078-5

In this paper we extend previous studies of selection principles for families of open covers of sets of real numbers to also include families of countable Borel covers. The main results of the paper could be summarized as follows: 1. Some of the classes which were different for open covers are equal for Borel covers -- Section 1; 2. Some Borel classes coincide with classes that have been studied under a different guise by other authors -- Section 4.

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