Regular monomorphisms of Hausdorff frames

被引：0
|
作者：
Plewe, T
Pultr, A
Tozzi, A
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Comp, London SW7 2BZ, England
[2] Charles Univ, MFF, Dept Appl Math, CR-11800 Prague 1, Czech Republic
[3] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy
来源：
APPLIED CATEGORICAL STRUCTURES | 2001年 / 9卷 / 01期
关键词：
frames; locales; Hausdorff property; regular monomorphisms resp epimorphisms; quotient mappings;
D O I：
10.1023/A:1008600626778
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Regular monomorphisms in the category of Hausdorff frames are characterized by means of a naturally defined closure operator; this is used also to characterize the epimorphisms. Further it is shown that for spatial (strongly) Hausdorff frames the regular monomorphisms do not generally coincide with the quotients, and do not generally compose. Also, an additional property (under which regular monomorphisms do compose) is briefly studied.
引用
收藏
页码：15 / 33
页数：19
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