Informatics Report Series
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Title:Compactly generated domain theory |
Authors:
Alexander Simpson
; Ingo Battenfeld
; Matthias Schroeder
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Date:Apr 2006 |
Publication Title:Compactly generated domain theory |
Publisher:Cambridge University Press |
Publication Type:Journal Article
Publication Status:Published
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Volume No:16
Page Nos:141-161
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DOI:10.1017/S0960129506005202
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- Abstract:
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We propose compactly generated monotone convergence spaces as a well-behaved topological generalization of directed-complete partial orders (dcpos). The category of such spaces enjoys the usual properties of categories of predomains in denotational semantics. Moreover, such properties are retained if one restricts to spaces with a countable pseudobase in the sense of E.~Michael, a fact that permits connections to be made with computability theory, realizability semantics and recent work on the closure properties of topological quotients of countably based spaces (qcb spaces). We compare the standard domain-theoretic constructions of products and function spaces on dcpos with their compactly generated counterparts, showing that these agree in important cases though not in general.
- Links To Paper
- No links available
- Bibtex format
- @Article{EDI-INF-RR-0886,
- author = {
Alexander Simpson
and Ingo Battenfeld
and Matthias Schroeder
},
- title = {Compactly generated domain theory},
- journal = {Compactly generated domain theory},
- publisher = {Cambridge University Press},
- year = 2006,
- month = {Apr},
- volume = {16},
- pages = {141-161},
- doi = {10.1017/S0960129506005202},
- }
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