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Some hierarchies of QCB0-spaces

Published online by Cambridge University Press:  10 November 2014

MATTHIAS SCHRÖDER
Affiliation:
University of the Bundeswehr Munich, Germany Email: [email protected]
VICTOR SELIVANOV
Affiliation:
A.P. Ershov Institute of Informatics Systems SB RAS, Novisibirsk, Russia Email: [email protected]

Abstract

We define and study hierarchies of topological spaces induced by the classical Borel and Luzin hierarchies of sets. Our hierarchies are divided into two classes: hierarchies of countably based spaces induced by their embeddings into , and hierarchies of spaces (not necessarily countably based) induced by their admissible representations. We concentrate on the non-collapse property of the hierarchies and on the relationships between hierarchies in the two classes.

Type
Paper
Copyright
Copyright © Cambridge University Press 2014 

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