Physics Library
 An open source physics library
Encyclopedia | Forums | Docs | Random |  
Login
create new user
Username:
Password:
forget your password?
Main Menu
Sections

Meta

Talkback

Downloads

Information
Grothendieck's theorem (Theorem)

Theorem 0.1. Grothendieck’s theorem: “Every 𝒜b5 category with a generator has an injective cogenerator” (Grothendieck 1957).

This initial statement of Grothendieck’s theorem is now restated as:

Theorem 0.2. Every Grothendieck category 𝒢 has an injective cogenerator.


"Grothendieck's theorem" is owned by bci1.
(view preamble)
View style:
Keywords:  Grothendieck's theorem

Cross-references: injective, Grothendieck category
There are 2 references to this object.

This is version 1 of Grothendieck's theorem, born on 2009-02-16.
Object id is 526, canonical name is GrothendiecksTheorem.
Accessed 1740 times total.

Classification:
Physics Classification00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )
Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:

No messages.

Interact
rate | post | correct | update request | prove | add result | add corollary | add example | add (any)