暗指 发表于 2025-3-30 09:51:11
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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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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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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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