Fundamental study: Complete and directed complete Ω-categories

Fundamental study: Complete and directed complete Ω-categories
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DOI:
10.1016/j.tcs.2007.09.012
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发表时间:
2007-12
影响因子:
1.1
通讯作者:
Hongliang Lai;Dexue Zhang
Hongliang Lai;Dexue Zhang
中科院分区:
计算机科学4区
文献类型:
--
作者:
Hongliang Lai;Dexue Zhang

文献摘要

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设Ω是一个交换的有单位元的Quantale。完备和有向完备Ω-范畴是数量Domain理论的核心研究对象。本文在充实范畴的Φ-完备性理论的基础上,系统地研究了Ω-范畴的完备性和有向完备性。
Let Ω be a commutative, unital quantale. Complete and directed complete Ω-categories are the core objects in Quantitative Domain Theory. This paper, based on the theory of Φ-completeness for enriched categories, presents a systematic investigation of completeness and directed completeness of Ω-categories.