Towards a descriptive set theory for domain-like structures
This is a survey of results in descriptive set theory for domains and similar spaces, with the emphasis on the co-algebraic domains. We try to demonstrate that the subject is interesting in its own right and is closely related to some areas of theoretical computer science. Since the subject is still in its beginning, we discuss in detail several open questions and possible future development. We also mention some relevant facts of (effective) descriptive set theory. (C) 2006 Elsevier B.V. All rights reserved.
polish space phi-space algebraic domain effective space borel hierarchy difference hierarchy wadge reducibility omega-boolean operation