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Exact Filters and Joins of Closed Sublocales
Applied Categorical Structures ( IF 0.6 ) Pub Date : 2020-03-07 , DOI: 10.1007/s10485-020-09593-y R. N. Ball , M. A. Moshier , A. Pultr
Applied Categorical Structures ( IF 0.6 ) Pub Date : 2020-03-07 , DOI: 10.1007/s10485-020-09593-y R. N. Ball , M. A. Moshier , A. Pultr
We prove, for a general frame, that the sublocales that can be represented as joins of closed ones are, somewhat surprisingly, in a natural one-to-one correspondence with the filters closed under exact meets, and explain some subfit facts from this perspective. Furthermore we discuss the filters associated in a similar vein with the fitted sublocales.
中文翻译:
封闭子区域设置的精确过滤器和连接
我们证明,对于一般框架,可以表示为闭合的连接的子区域与在精确满足下闭合的过滤器自然一一对应,并从这个角度解释一些子拟合事实,这有点令人惊讶. 此外,我们讨论了与拟合子区域类似的过滤器。
更新日期:2020-03-07
中文翻译:
封闭子区域设置的精确过滤器和连接
我们证明,对于一般框架,可以表示为闭合的连接的子区域与在精确满足下闭合的过滤器自然一一对应,并从这个角度解释一些子拟合事实,这有点令人惊讶. 此外,我们讨论了与拟合子区域类似的过滤器。