Towards a descriptive theory of cb 0-spaces. / Selivanov, Victor.
In: Mathematical Structures in Computer Science, Vol. 27, No. 8, 01.12.2017, p. 1553-1580.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Towards a descriptive theory of cb 0-spaces
AU - Selivanov, Victor
PY - 2017/12/1
Y1 - 2017/12/1
N2 - The paper tries to extend some results of the classical Descriptive Set Theory to as many countably based T 0-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 of k-partitions.In particular, we investigate the difference hierarchy of k-partitions and the fine hierarchy closely related to the Wadge hierarchy.
AB - The paper tries to extend some results of the classical Descriptive Set Theory to as many countably based T 0-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 of k-partitions.In particular, we investigate the difference hierarchy of k-partitions and the fine hierarchy closely related to the Wadge hierarchy.
UR - http://www.scopus.com/inward/record.url?scp=84973517375&partnerID=8YFLogxK
U2 - 10.1017/S0960129516000177
DO - 10.1017/S0960129516000177
M3 - Article
AN - SCOPUS:84973517375
VL - 27
SP - 1553
EP - 1580
JO - Mathematical Structures in Computer Science
JF - Mathematical Structures in Computer Science
SN - 0960-1295
IS - 8
ER -
ID: 16956968