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Titlebook: Domains and Processes; Proceedings of the 1 Klaus Keimel,Guo-Qiang Zhang,Yi-Xang Chen Conference proceedings 2001 Kluwer Academic Publisher

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楼主: Awkward
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Encounters Between Topology and Domain Theory,opics highlighted include locally compact spaces, spectral theory, round-ideal completions, ordered spaces, maximal-point spaces, and the probabilistic power domain The article attempts to develop the thesis that topological tools are useful for the investigation of order-theoretic structures arisin
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U,-Admitting DCPOS Need not be Sober,. implies .⊂. for some . ⊂ .. In this note, we construct an example of a ..-admitting dcpo which is not sober, thus giving a negative answer to an open problem posed by Heckmann in 1991. Moreover, we prove that for every locally compact dcpo, ..-admitting is equivalent to sober.
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On The Equivalence of Some Approaches to Computability on the Real Line,research concentrates either on an application of Weihrauch’s Type Two Theory of Effectivity or on domain-theoretic approaches, in which case the partial objects appearing during computations are made explicit. A further, more analysis-oriented line of research is based on Grzegorczyk’s work. All th
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The Continuous Functionals of Finite Types Over the Reals,d the boolean values, under cartesian products and restricted function spaces. We show that the total objects will be dense in the respective domains, and that our construction is equivalent to the analogue construction in the category of limit spaces..In order to obtain this we will consider a rest
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Normal Subsets in Abstract Bases,, the problem of definition and characterization of sub-domains in the category of continuous domains will be discussed. Then a dcpo class of abstract bases will be introduced and a fixed point theorem of continuous mappings on the class will be addressed. Finally, connections with other approaches
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Axiomatization Without Prefix Combinator,concurrent computation without the use of prefix combinator. The atomic chi calculus studied in this paper is obtained from polyadic chi calculus by leaving out the prefix operator. This omission is impossible in the pi framework because it would render the input actions of pi useless. This paper fo
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