论文标题

可允许的代表空间和QCB空间

Admissibly Represented Spaces and Qcb-Spaces

论文作者

Schröder, Matthias

论文摘要

第二型有效性理论(TTE)的基本概念是可允许的空间的概念。可允许的代表空间与QCB空间密切相关。后者形成了拓扑空间的良好行为子类。我们对第二型有效性理论,可接受的空间,QCB空间和有效的QCB空间进行了调查。此外,我们讨论了QCB空间与与可计算分析相关的其他类别的关系。

A basic concept of Type Two Theory of Effectivity (TTE) is the notion of an admissibly represented space. Admissibly represented spaces are closely related to qcb-spaces. The latter form a well-behaved subclass of topological spaces. We give a survey of basic facts about Type Two Theory of Effectivity, admissibly represented spaces, qcb-spaces and effective qcb-spaces. Moreover, we discuss the relationship of qcb-spaces to other categories relevant to Computable Analysis.

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