Logo

Categories and Homological Algebra

Small book cover: Categories and Homological Algebra

Categories and Homological Algebra
by

Publisher: UPMC
Number of pages: 125

Description:
The aim of these notes is to introduce the reader to the language of categories and to present the basic notions of homological algebra, first from an elementary point of view, with the notion of derived functors, next with a more sophisticated approach, with the introduction of triangulated and derived categories.

Home page url

Download or read it online for free here:
Download link
(630KB, PDF)

Similar books

Book cover: Abelian Categories: an Introduction to the Theory of FunctorsAbelian Categories: an Introduction to the Theory of Functors
by - Harper and Row
From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.
(13860 views)
Book cover: Higher Topos TheoryHigher Topos Theory
by - Princeton University Press
Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
(13563 views)
Book cover: Introduction to Categories and Categorical LogicIntroduction to Categories and Categorical Logic
by - arXiv
These notes provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The main prerequisite is a basic familiarity with the elements of discrete mathematics: sets, relations and functions.
(12989 views)
Book cover: Notes on Categories and GroupoidsNotes on Categories and Groupoids
by - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
(15623 views)