MEET-CONTINUITY ONL-DIRECTED COMPLETE POSETS

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SU SHUHUA; LI QINGGUO; GUO LANKUN

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Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:5 Page(s): 63-78

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Information Journal Paper

Title

MEET-CONTINUITY ONL-DIRECTED COMPLETE POSETS

Author(s)

SU SHUHUA | LI QINGGUO | GUO LANKUN | Issue Writer Certificate

Keywords

L-DCPOQ2

GENERALIZED SCOTT TOPOLOGYQ2

MEET-CONTINUITYQ2

Abstract

In this paper, the definition of MEET-CONTINUITY on L-directed complete posets (for short, L-DCPOs) is introduced. As a generalization of MEET-CONTINUITY on crisp dcpos, MEET-CONTINUITY on L-DCPOs, based on the GENERALIZED SCOTT TOPOLOGY, is characterized. In particular, it is shown that every continuous L-DCPO is meet-continuous and L-continuous retracts of meet-continuous L-DCPOs are also meet-continuous. Then, some topological properties of MEET-CONTINUITY on L-DCPOs are discussed. It is shown that MEET-CONTINUITY on L-DCPOs is a topological invariant with respect to the GENERALIZED SCOTT TOPOLOGY, and MEET-CONTINUITY on L-DCPOs is hereditary with respect to generalized Scott closed subsets.

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APA: Copy

SU, SHUHUA, LI, QINGGUO, & GUO, LANKUN. (2013). MEET-CONTINUITY ONL-DIRECTED COMPLETE POSETS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(5), 63-78. SID. https://sid.ir/paper/113336/en

Vancouver: Copy

SU SHUHUA, LI QINGGUO, GUO LANKUN. MEET-CONTINUITY ONL-DIRECTED COMPLETE POSETS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(5):63-78. Available from: https://sid.ir/paper/113336/en

IEEE: Copy

SHUHUA SU, QINGGUO LI, and LANKUN GUO, “MEET-CONTINUITY ONL-DIRECTED COMPLETE POSETS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 5, pp. 63–78, 2013, [Online]. Available: https://sid.ir/paper/113336/en

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