On concrete categories

Antoni Wiweger. On concrete categories. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1976. <http://eudml.org/doc/268591>.

@book{AntoniWiweger1976,
abstract = {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},
author = {Antoni Wiweger},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {On concrete categories},
url = {http://eudml.org/doc/268591},
year = {1976},
}

TY - BOOK
AU - Antoni Wiweger
TI - On concrete categories
PY - 1976
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
UR - http://eudml.org/doc/268591
ER -