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Priestley Spaces, Quasi–hyperalgebraic Lattices and Smyth Powerdomains

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Abstract

We introduce the concept of quasi–hyperalgebraic lattice and prove that a complete lattice is a Priestley space with respect to the interval topology if and only if it is quasi–hyperalgebraic. Some characterizations of quasi–hyperalgebraic lattices are presented. We also prove that the Smyth powerdomain of a quasi–hyperalgebraic lattice is hyperalgebraic.

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Correspondence to Mao Kang Luo.

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Supported by NSFC(10331010) and Research Fund for the Doctoral Program of Higher Education

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Yang, J.B., Luo, M.K. Priestley Spaces, Quasi–hyperalgebraic Lattices and Smyth Powerdomains. Acta Math Sinica 22, 951–958 (2006). https://doi.org/10.1007/s10114-005-0737-8

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  • DOI: https://doi.org/10.1007/s10114-005-0737-8

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