暗指 发表于 2025-3-30 09:51:11

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特别容易碎 发表于 2025-3-30 14:27:52

https://doi.org/10.1007/978-3-319-07431-3 show that ∇(.) is closed in . under . -images, .-dense extensions, direct products, and under chained sinks. The first three closure properties appear essentially in , Section 7.8, but not the crucial fourth property, which exhibits ∇(.) as a component subcategory in the sense of ; see also and .

Semblance 发表于 2025-3-30 20:13:48

https://doi.org/10.1007/978-3-319-05371-4concepts seem very different in essence, we show that, in convenient settings, compactness with respect to a class of morphisms can be viewed as Borel-Lebesgue compactness for a suitable closure operator. Finally, we use the results obtained to study compact objects relative to a class of morphisms in some special settings.

GROSS 发表于 2025-3-30 23:15:00

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向外供接触 发表于 2025-3-31 01:18:12

Impedance-Based Field Measurements, coreflective subconstruct, exponential objects are precisely those objects of the subconstruct that are finitely generated. We give a counterexample showing that without finite productivity the previous result does not hold.

Myosin 发表于 2025-3-31 05:02:18

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finite 发表于 2025-3-31 09:28:44

https://doi.org/10.1007/978-3-319-05398-1s . satisfying some suitable conditions. This plays a rôle in relating effective .-descent to effective global descent and enables us to obtain a criterion for effective étale-descent. We also show that the inclusion of the class of effective global-descent maps in the class surjective effective étale-descent is strict.

dainty 发表于 2025-3-31 16:31:00

Alejandro Gugliucci,Teresita Meninire of the lattice of all closure operators. A suitable adjustment of the notion of orthogonality between composable pairs enables us to develop the theory to a large extent parallel to the theory of all closure operators.

Fraudulent 发表于 2025-3-31 21:20:12

On Categorical Notions of Compact Objects,concepts seem very different in essence, we show that, in convenient settings, compactness with respect to a class of morphisms can be viewed as Borel-Lebesgue compactness for a suitable closure operator. Finally, we use the results obtained to study compact objects relative to a class of morphisms in some special settings.

肿块 发表于 2025-4-1 00:23:43

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查看完整版本: Titlebook: Categorical Topology; Proceedings of the L Eraldo Giuli Conference proceedings 1996 Kluwer Academic Publishers 1996 Category theory.Compact