赵东升,赵彬.Inj0在Top上的Monadicity(英文)[J].数学研究及应用,2000,20(4):475~482 |
Inj0在Top上的Monadicity(英文) |
Monadicity of Inj0 over Top |
投稿时间:1998-06-25 |
DOI:10.3770/j.issn:1000-341X.2000.04.001 |
中文关键词: |
英文关键词:category dual adjunction meet-semilattice. |
基金项目: |
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中文摘要: |
本文主要证明了全体内射T0-空间及强代数映射构成的范畴Inj0恰是Eilenberg-Moore范畴TopT,这里T是Top与Slat之间的一对偶伴随导出的monad,由此推出Inj0在Top上是monadic的. |
英文摘要: |
In this paper, we mainly prove that the category Inj0 of all injective T0-spaces and strongly algebraic maps is monadic over Top by showing that Inj0 is equal to the Eilenberg-Moore category TopT, where T is the monad produced by an dual adjunction between the category Top and the category Slat of all meet-semilattices which have top elements and semilattice homomorphisms. |
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