| Locale的紧正则极不连通反射 |
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| 引用本文： | 孙叔豪. Locale的紧正则极不连通反射[J]. 四川大学学报(自然科学版), 1988, 0(3) |
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| 作者姓名： | 孙叔豪 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文从任一给定LocaleA,构造出一个紧正则极不连通Locale J(A),且证明了:(1)A是J(A)的稠子locale当且仅当A是正则极不连通(2)对是范畴Loc到子范畴KREDLOC的函子(3)J是子范畴KREDLOC到范畴EDLOC的包含函子的左伴随函子,(即KREDLOC是范畴EDLOC的可反射子范畴。
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| 关 键 词： | 拓扑范畴 函子 locale范畴 紧化 |
ON THE REFLECTION OF COMPACT REGULAR EXTREMALLY DISCONNECTED LOCALES |
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| Sun Shuhao. ON THE REFLECTION OF COMPACT REGULAR EXTREMALLY DISCONNECTED LOCALES[J]. Journal of Sichuan University (Natural Science Edition), 1988, 0(3) |
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| Authors: | Sun Shuhao |
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| Abstract: | In this paper, we construct a compact regular extremally disconnected locale J(A) naturally from an arbitrary given locale A. And we show that (i)J is a functor from LOG-KREDLOC*. (ii)A is a dense sublocale of J(A) iff A is regular E.D. (iii)J is the left adjoint of the inclusion from KREDLOC |
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| Keywords: | topological category functor locale category compactification |
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