19 Injectives

Section 19.1: Introduction
Section 19.2: Baer's argument for modules
- Equation 19.2.0.1
- Example 19.2.1
- Example 19.2.2
- Lemma 19.2.3
- Definition 19.2.4
- Proposition 19.2.5
- Lemma 19.2.6: Baer's criterion reference
  - Equation 19.2.6.1
- Lemma 19.2.7
- Theorem 19.2.8
Section 19.3: G-modules
- Lemma 19.3.1
Section 19.4: Abelian sheaves on a space
- Lemma 19.4.1
Section 19.5: Sheaves of modules on a ringed space
- Lemma 19.5.1
Section 19.6: Abelian presheaves on a category
- Proposition 19.6.1
Section 19.7: Abelian Sheaves on a site
- Lemma 19.7.1
- Lemma 19.7.2
  - Equation 19.7.2.1
- Lemma 19.7.3
- Theorem 19.7.4
Section 19.8: Modules on a ringed site
- Lemma 19.8.1
- Lemma 19.8.2
- Lemma 19.8.3
- Theorem 19.8.4
- Proposition 19.8.5
Section 19.9: Embedding abelian categories
- Lemma 19.9.1
- Lemma 19.9.2
- Remark 19.9.3
- Remark 19.9.4
- Remark 19.9.5
- Remark 19.9.6
Section 19.10: Grothendieck's AB conditions
- Definition 19.10.1
Section 19.11: Injectives in Grothendieck categories
- Lemma 19.11.1
- Definition 19.11.2
- Lemma 19.11.3
- Lemma 19.11.4
- Proposition 19.11.5
- Lemma 19.11.6 slogan
- Theorem 19.11.7
Section 19.12: K-injectives in Grothendieck categories
- Lemma 19.12.1
- Lemma 19.12.2
- Lemma 19.12.3
- Lemma 19.12.4
- Lemma 19.12.5
- Theorem 19.12.6 slogan
Section 19.13: Additional remarks on Grothendieck abelian categories
- Lemma 19.13.1
- Lemma 19.13.2
- Remark 19.13.3
- Lemma 19.13.4
- Remark 19.13.5
- Lemma 19.13.6
- Lemma 19.13.7
- Remark 19.13.8
- Remark 19.13.9
- Remark 19.13.10
- Remark 19.13.11
- Lemma 19.13.12
- Lemma 19.13.13
Section 19.14: The Gabriel-Popescu theorem
- Lemma 19.14.1
- Lemma 19.14.2
- Theorem 19.14.3
- Lemma 19.14.4 reference
Section 19.15: Brown representability and Grothendieck abelian categories
- Lemma 19.15.1
- Proposition 19.15.2