3 papers
math.LO2023
Ideal presentations and numberings of some classes of effective quasi-Polish spaces
Matthew de Brecht, Takayuki Kihara, Victor Selivanov
The well known ideal presentations of countably based domains were recently extended to (effective) quasi-Polish spaces. Continuing these investigations, we explore some classes of…
math.GN2014
Towards a Descriptive Theory of cb_0-Spaces
Victor Selivanov
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 a…
cs.LO2014
Hyperprojective Hierarchy of QCB_0-spaces
Matthias Schröder, Victor Selivanov
We extend the Luzin hierarchy of qcb-spaces introduced in [ScS13] to all countable ordinals, obtaining in this way the hyperprojective hierarchy of qcb-spaces. We generaliz…