Semigroups and Toposes
Semigroups and Toposes
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半群和拓扑
DOI：
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发表时间：
2007
期刊：
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通讯作者：
J. Funk
中科院分区：
文献类型：
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作者：
J. Funk
建立了逆半群分类拓扑的半群表示。为此，我们考虑一个比逆半群和预同态更大的范畴，其对象我们称之为左 *-半群。
我们证明了任何集光率都有左 *-半群表示。证明了任何左 *-半群都可以余稠密嵌入逆半群。我们还建立了E-酉逆半群的严格拓扑描述。
AbstractWe establish a semigroup presentation of the classifying topos of an inverse semigroup. For this purpose we consider a category larger than inverse semigroups and prehomomorphisms, whose objects we call left *-semigroups.
We show that any etendue has a left *-semigroup presentation. We show that any left *-semigroup may be codensely embedded in an inverse semigroup. We also establish a strictly topos description of E-unitary inverse semigroups.