Oct 11, 2025 · An object of a category is called compact if it is “finite” or “small” in some precise sense. There are however different formalizations of this idea. Here discussed is the notion, …

All compact objects have a high mass relative to their radius, giving them a very high density compared to ordinary atomic matter. The term is used as a generalization for cases where the …

In this section we study compact objects in the derived category of modules on a ringed site. We recall that compact objects are defined in Derived Categories, Definition 13.37.1.

Nov 24, 2020 · For example, Lurie-compact objects in a category of $R$ -modules are the same as finitely presentable modules. (The same is true for any category of algebras for a Lawvere …

Compact objects (black holes, neutron stars, and white dwarfs) are the final fates of stars, and are amongst the most extreme objects in the known universe, where the laws of physics are …

The objects are often extraordinarily luminous and affect their surroundings to a much greater extent than one might guess from their small sizes. At the same time, compact objects are of …

A compact object is the same as the original object, except with keys containing falsy values removed. This operation applies to the object and any nested objects.

In mathematics, compact objects, also referred to as finitely presented objects, or objects of finite presentation, are objects in a category satisfying a certain finiteness condition.

In mathematics, compact objects, also referred to as finitely presented objects, or objects of finite presentation, are objects in a category satisfying a certain finiteness condition.

Jun 20, 2025 · By definition, in a locally presentable category every object is a colimit over small objects. Smallness of objects plays a crucial role in the small object argument. cosmall …