Abstract
The paper tries to extend some results of the classical Descriptive Set Theory to as many countably basedT0-spaces (cb0-spaces) as possible. Along with extending some central facts about Borel, Luzin and Hausdorff hierarchies of sets we also consider the more general case ofk-partitions. In particular, we investigate the difference hierarchy ofk-partitions and the fine hierarchy closely related to the Wadge hierarchy.
Publisher
Cambridge University Press (CUP)
Subject
Computer Science Applications,Mathematics (miscellaneous)
Reference44 articles.
1. Pauly A. (2012). A new introduction to the theory of represented spaces, arXiv:1204.3763.
2. Continuous Lattices and Domains
3. Wadge hierarchy and Veblen hierarchy Part I: Borel sets of finite rank
4. Wadge W. (1984). Reducibility and Determinateness in the Baire Space, Ph.D. Thesis, University of California.
5. A New Proof of a Theorem of Jayne and Rogers
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献