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| Sober拓扑分子格 | |
| 引用本文： | 张德学,李永明. Sober拓扑分子格[J]. 东北数学, 2003, 19(3): 254-258 |
| 作者姓名： | 张德学 李永明 |
| 作者单位： | [1]DepartmentofMathematics,UniehuanUniversity,Chenydu,610064 [2]DepartmentofMathematics,ShannxiNormalUniversity,Xi‘an,710062 |
| 基金项目： | 973 Programs (2002cb312200)，Huo Yingdong Education Foundation and TRAPOYT. |
| 摘 要： | A topological molecular lattice (TML) is a pair (L, T), where L is a completely distributive lattice and r is a subframe of L. There is an obvious forgetful functor from the category TML of TML‘s to the category Loc of locales. In this note,it is showed that this forgetful functor has a right adjoint. Then, by this adjunction,a special kind of topological molecular lattices called sober topological molecular lattices is introduced and investigated. |
| 关 键 词： | Sober拓扑分子格 完全分配格 遗忘函子 右伴随 场所 标架 态射 空间性 |
Sober Topological Molecular Lattices |
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| ZHANG Dexue. Sober Topological Molecular Lattices[J]. Northeastern Mathematical Journal, 2003, 19(3): 254-258 | |
| Authors: | ZHANG Dexue |
| Abstract: | A topological molecular lattice (TML) is a pair (L, r), where L is a completely distributive lattice and T is a subframe of L. There is an obvious forgetful functor from the category TML of TML's to the category Loc of locales. In this note, it is showed that this forgetful functor has a right adjoint. Then, by this adjunction, a special kind of topological molecular lattices called sober topological molecular lattices is introduced and investigated. |
| Keywords: | topological molecular lattice locale adjoint functor |
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