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This article is cited in 16 scientific papers (total in 16 papers)
Variations on the Wadge Reducibility
V. L. Selivanov A. P. Ershov Institute of Informatics Systems Sib. Br. RAS
Abstract:
The Wadge reducibility in the Baire and Cantor spaces is very important in descriptive set theory. We consider the Wadge reducibility in some other topological spaces, in particular, in the $\varphi$-spaces which are topological counterparts of the algebraic directed-complete partial orderings. It turns out that the Wadge reducibility behaves worse in most spaces than in the classical case but there exist interesting examples of spaces with a better behavior as well.
Key words:
Wadge reducibility, $\varphi$-space, directed-complete partial ordering, retract, Borel set, difference hierarchy.
Received: 17.03.2004
Citation:
V. L. Selivanov, “Variations on the Wadge Reducibility”, Mat. Tr., 8:1 (2005), 135–175; Siberian Adv. Math., 15:3 (2005), 44–80
Linking options:
https://www.mathnet.ru/eng/mt58 https://www.mathnet.ru/eng/mt/v8/i1/p135
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Abstract page: | 398 | Full-text PDF : | 112 | References: | 45 | First page: | 1 |
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