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Compact covering mappings between Borel spaces. (English) Zbl 0988.54038

From the introduction: The aim of this paper is to give a general presentation of various results about compact covering mappings between Borel spaces. The material is extracted from [the authors, Topology Appl. 68, No. 2, 153-185 (1996; Zbl 0848.54024); Fundam. Math. 159, No. 2, 161-193 (1999; Zbl 0933.03058); ibid. 167, No. 3, 213-249 (2001; Zbl 0968.03052)]. However, this is not a review paper in the strict sense. The style adopted here allows to sketch the main ideas of the proofs, avoiding both technical and standard arguments.

MSC:

54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
03E15 Descriptive set theory
54C99 Maps and general types of topological spaces defined by maps
91A44 Games involving topology, set theory, or logic
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