Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
Well-Quasi Orders and Hierarchy Theory. / Selivanov, Victor.
Well-Quasi Orders in Computation, Logic, Language and Reasoning. Том 53 2020. стр. 271-319 (Trends in Logic; Том 53).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
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TY - CHAP
T1 - Well-Quasi Orders and Hierarchy Theory
AU - Selivanov, Victor
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We discuss some applications of WQOs to several fields were hierarchies and reducibilities are the principal classification tools, notably to Descriptive Set Theory, Computability theory and Automata Theory. While the classical hierarchies of sets usually degenerate to structures very close to ordinals, the extension of them to functions requires more complicated WQOs, and the same applies to reducibilities. We survey some results obtained so far and discuss open problems and possible research directions.
AB - We discuss some applications of WQOs to several fields were hierarchies and reducibilities are the principal classification tools, notably to Descriptive Set Theory, Computability theory and Automata Theory. While the classical hierarchies of sets usually degenerate to structures very close to ordinals, the extension of them to functions requires more complicated WQOs, and the same applies to reducibilities. We survey some results obtained so far and discuss open problems and possible research directions.
KW - Better quasiorder
KW - Borel hierarchy
KW - Fine hierarchy
KW - h-Quasiorder
KW - Hausdorff hierarchy
KW - k-Partition
KW - Labeled tree
KW - Quasi-polish space
KW - Reducibility
KW - Wadge hierarchy
KW - Well quasiorder
UR - http://www.scopus.com/inward/record.url?scp=85093854551&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-30229-0_10
DO - 10.1007/978-3-030-30229-0_10
M3 - Chapter
AN - SCOPUS:85093854551
VL - 53
T3 - Trends in Logic
SP - 271
EP - 319
BT - Well-Quasi Orders in Computation, Logic, Language and Reasoning
ER -
ID: 126991333