CONTENTSIntroduction............................................................................................................ 5Chapter I. PRELIMINARIES1. Notation. Categories and functors................................................................ 82. Concrete categories................................................................................................ 123. Power functors. Set-theoretical lemmas............................................................. 164. The category of equivalence relations................................................................. 195. Pseudo-reflections and reflections...................................................................... 206. Universal points. Generators and cogenerators................................................ 21Chapter II. DUALITY. GENERALIZED EMBEDDINGS AND QUOTIENTS7. Dual notions in concrete categories........................................................... 238. D-preorders and C-preorders............................................................................... 279. Generalized images, coimages, embeddings and quotients........................ 33Chapter III. THE CONDITIONS OF TRANSFER AND OF UNICITY10. Definitions, examples, and basic properties.......................................... 3811. The "transfer" functor ........................................................................................... 4212. The "unicity" functor............................................................................................... 4413. The "unique transfer" functor............................................................................... 4614. Structures and concrete categories................................................................... 48Chapter IV. THE CATEGORY OF LOGICAL KITS15. Definitions and basic properties................................................................ 5116. Adjoints of some forgetful functors.................................................................... 5517. Coproducts of logical kits.................................................................................... 5818. Coequalizers in the category of logical kits...................................................... 61References .......................................................................................................... 64
@book{bwmeta1.element.zamlynska-3fcddad8-4d60-42ab-a1f4-95b7d74409ec,
author = {Antoni Wiweger},
title = {On concrete categories},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1976},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-3fcddad8-4d60-42ab-a1f4-95b7d74409ec}
}
Antoni Wiweger. On concrete categories. GDML_Books (1976), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-3fcddad8-4d60-42ab-a1f4-95b7d74409ec/