Some Hierarchies of QCB_0-Spaces

Matthias Schroeder; Victor Selivanov

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arXiv · 1304.1647

Some Hierarchies of QCB_0-Spaces

Matthias Schroeder·Victor Selivanov

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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 the domain P\omega, 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.

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Matthias Schroeder, Victor Selivanov. 2013-04-05. Some Hierarchies of QCB_0-Spaces. https://arxiv.org/abs/1304.1647

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