Presheaf拓扑中的紧凑Hausdorff区域

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2023-10-19 DOI:10.1007/s10485-023-09751-y

Simon Henry, Christopher Townsend

引用次数: 1

摘要

我们证明了对于任意小范畴\({\mathcal {C}}\)，在预表拓扑\(\hat{{\mathcal {C}}}\)中的紧Hausdorff区域的范畴\(\textbf{KHausLoc}_{\hat{{\mathcal {C}}}}\)等价于函子的范畴\({\mathcal {C}} \rightarrow \textbf{KHausLoc}\)。

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Compact Hausdorff Locales in Presheaf Toposes

We prove that for any small category \({\mathcal {C}}\), the category \(\textbf{KHausLoc}_{\hat{{\mathcal {C}}}}\) of compact Hausdorff locales in the presheaf topos \(\hat{{\mathcal {C}}}\), is equivalent to the category of functors \({\mathcal {C}} \rightarrow \textbf{KHausLoc}\).

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来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.