An introduction to Algebra and Topology
by Pierre Schapira
Publisher: University of Luxemburg 2012
Number of pages: 78
Description:
These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).
Download or read it online for free here:
Download link
(480KB, PDF)
Similar books
New Directions in Hopf Algebrasby S. Montgomery, H. Schneider - Cambridge University Press
Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.
(7187 views)
Commutator Theory for Congruence Modular Varietiesby Ralph Freese, Ralph McKenzie - Cambridge University Press
This book presents the basic theory of commutators in congruence modular varieties and some of its strongest applications. The authors take an algebraic approach, using some of the shortcuts that Taylor and others have discovered.
(7561 views)
An Invitation to General Algebra and Universal Constructionsby George M. Bergman - Henry Helson
From the contents: Free groups; Ordered sets, induction, and the Axiom of Choice; Lattices, closure operators, and Galois connections; Categories and functors; Universal constructions in category-theoretic terms; Varieties of algebras; etc.
(8879 views)
An Introduction to the Algebra of Quanticsby E.B. Elliott - The Clarendon Press
The primary object of this book is that of explaining with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important.
(5312 views)