On the Difference Hierarchy in Countably Based T0-Spaces | Zendy

Victor Selivanov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Difference Hierarchy in Countably Based T0-Spaces

Author(s) -

Victor Selivanov

Publication year - 2008

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2008.12.022

Subject(s) - mathematics , hierarchy , hausdorff space , class (philosophy) , algebraic number , discrete mathematics , pure mathematics , computability , topological space , algebra over a field , computer science , mathematical analysis , artificial intelligence , economics , market economy

We establish some results on some variants of the Hausdorff difference hierarchy. In particular, we extend the recently developed theory of difference hierarchy over the open sets in ω-algebraic domains to a similar theory for ω-continuous domains, and prove some analogs of the Hausdorff-Kuratowski theorem for k-partitions. We discuss also a broad class of effective topological spaces closely relevant to our study of the difference hierarchy and to computability in topology

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research