Research output: Contribution to journal › Article › peer-review
Towards a descriptive set theory for domain-like structures. / Selivanov, Victor L.
In: Theoretical Computer Science, Vol. 365, No. 3, 12.11.2006, p. 258-282.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Towards a descriptive set theory for domain-like structures
AU - Selivanov, Victor L.
PY - 2006/11/12
Y1 - 2006/11/12
N2 - This is a survey of results in descriptive set theory for domains and similar spaces, with the emphasis on the ω-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. © 2006 Elsevier B.V. All rights reserved.
AB - This is a survey of results in descriptive set theory for domains and similar spaces, with the emphasis on the ω-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. © 2006 Elsevier B.V. All rights reserved.
KW - φ{symbol}-Space
KW - ω-Boolean operation
KW - Algebraic domain
KW - Borel hierarchy
KW - Difference hierarchy
KW - Effective space
KW - Polish space
KW - Wadge reducibility
UR - http://www.scopus.com/inward/record.url?scp=33750078125&partnerID=8YFLogxK
U2 - 10.1016/j.tcs.2006.07.053
DO - 10.1016/j.tcs.2006.07.053
M3 - Article
AN - SCOPUS:33750078125
VL - 365
SP - 258
EP - 282
JO - Theoretical Computer Science
JF - Theoretical Computer Science
SN - 0304-3975
IS - 3
ER -
ID: 127139841