Towards a Descriptive Theory of cb_0-Spaces
General Topology
2014-06-17 v1
Abstract
The paper tries to extend results of the classical Descriptive Set Theory to as many countably based T_0-spaces (cb_0-spaces) as possible. Along with extending some central facts about Borel, Luzin and Hausdorff hierarchies of sets we consider also the more general case of k-partitions. In particular, we investigate the difference hierarchy of k-partitions and the fine hierarchy closely related to the Wadge hierarchy.
Keywords
Cite
@article{arxiv.1406.3942,
title = {Towards a Descriptive Theory of cb_0-Spaces},
author = {Victor Selivanov},
journal= {arXiv preprint arXiv:1406.3942},
year = {2014}
}
Comments
20 pages