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Functors . ... of Functors . ... Categories, Functors, and Natural Transformations. ... Functors.
Functors in Differential Geometry De Waal Martijn - Smeenk Sebastiaan - Sitbon Pascal - Zacharopoulos Georgios February 4, 2019 Abstract After presenting the notion of a category and providing some examples we focus towards the cotangent bundle of a manifold.
b) A functor between one object categories (where every arrow has an inverse) can be viewed as a homomorphism between their respective groups of arrows because functors preserve composition, indentity and inverse (these are precisely the group homomorphism axioms).
All of this data can be reorganized in a coherent manner using the language of categories and functors:
The goal of the present article is to compute hyper-combinatorially Hadamard–Liouville, integral, ultraalmost surely p-adic functors.