Abstract
This survey article provides an overview of recent developments that represent typical interplays between topology and continuous domain theory. The topics 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 arising in theoretical computer science and the latter in turn suggest new research directions in topology.
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Lawson, J.D. (2001). Encounters Between Topology and Domain Theory. In: Keimel, K., Zhang, GQ., Liu, YM., Chen, YX. (eds) Domains and Processes. Semantic Structures in Computation, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0654-5_1
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DOI: https://doi.org/10.1007/978-94-010-0654-5_1
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