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The combinatorics of Borel covers

General Topology 2010-08-02 v4 Classical Analysis and ODEs Combinatorics Logic

Abstract

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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Cite

@article{arxiv.math/0302322,
  title  = {The combinatorics of Borel covers},
  author = {Marion Scheepers and Boaz Tsaban},
  journal= {arXiv preprint arXiv:math/0302322},
  year   = {2010}
}

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