ar X iv :m at h. CT /0 50 64 70 v 1 2 3 Ju n 20 05 FILES FOR GABRIEL-ZISMAN LOCALIZATION CARLOS SIMPSON Contents 1. Instructions 2 2. The file freecat.v 4 2.1. The module Uple 4 2.2. The module Graph 7 2.3. The module Free Category 8 3. The file qcat.v 23 3.1. The module Categorical Relation 23 3.2. The module Quotient Category 26 3.3. The module Quotient Functor 30 3.4. The module Ob Iso Functor 34 3.5. The module Associating Quotient 46 4. The file gzdef.v 54 4.1. The module GZ Def 54 4.2. The module GZ Thm 61 5. The file left fractions.v 66 5.1. The module Left Fractions 66 5.2. The module Left Fraction Category 80 6. The file gzloc.v 90 6.1. The module GZ Localization 90 7. The file lfcx.v 98 7.1. The module Coarse Cat 98 7.2. The module Lf Counterexample 100 8. The file infinite.v 104 8.1. The module Infinite 104 We present simplified versions of the main files for Gabriel-Zisman localization (the only file which isn't included is updateA.v which contains things which should have gone in earlier parts of the set theory and category theory developments).
- gz localization
- lemma component
- category-theory development
- depend make depend
- quotient category
- emptyset
- file
- definition axioms