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

暗指

特别容易碎

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 [DT], Section 7.8, but not the crucial fourth property, which exhibits ∇(.) as a component subcategory in the sense of [Ti]; see also [T] and [C].

Semblance

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

向外供接触

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

finite

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

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

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