In mathematics the Karoubi envelope (or Cauchy completion or idempotent completion) of a category C is a classification of the idempotents of C, by means of an auxiliary category.

May 16, 2024 · A pseudo-abelian category [Karoubi (1978), Def. 6.7] or Karoubian category is a pre-additive category C C such that every idempotent morphism p: A → A p …

The Karoubi envelope or idempotent completion of a category is the universal enlargement of the category with the property that every idempotent is a split idempotent. This is the Set-enriched …

The Karoubi envelope1 of a category C is a way of adding objects and morphisms to C so that every projection has an image and so that if p : O → O is a projection and C is additive, then …

We say C is Karoubian if every idempotent endomorphism of an object of C has a kernel. The dual notion would be that every idempotent endomorphism of an object has a cokernel. …

Dec 9, 2021 · The Karoubi envelope \(\tilde{{\mathscr {A}}}\) is an idempotent complete category. The biproduct in \(\tilde{{\mathscr {A}}}\) is defined as \((A,p) \oplus (B,q) = (A \oplus B, p …

Dec 19, 2024 · Karoubi 1978 §III.4 defined topological K-theory classes equivalently by Clifford module bundles, where a Cl n Cl_n-module represents a class in K n K^n and represents the …

"Karoubi’s classic K-Theory, An Introduction … is ‘to provide advanced students and mathematicians in other fields with the fundamental material in this subject’. …

Karoubi may refer to: Max Karoubi Mathematician who introduced: Karoubi conjecture; Karoubi envelope; Mehdi Karroubi Iranian politician

The Karoubi envelope is unique with respect to the following universal property. Proposition2.5 [3, Proposition 6.10]. Let A be an additive category and let B be an idem-potent complete …