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#### Relative Homological Algebra

De Gruyter 2011; US$ 168.00This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated... more...

#### Relative Homological Algebra

De Gruyter 2011; US$ 154.00This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. The... more...

#### Locally Presentable and Accessible Categories

Cambridge University Press 1994; US$ 100.00The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. more...

#### Towards Higher Categories

Springer 2009; US$ 169.00The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through... more...

#### The Algebra of Secondary Cohomology Operations

Springer 2006; US$ 169.00Computing the algebra of secondary cohomology operations, that enrich the structure of the Steenrod algebra, this book solves a long-standing problem on the algebra of secondary cohomology operations. It develops a different algebraic theory of such operations. The results have an impact on the Adams spectral sequence. more...

#### An invitation to general algebra and universal constructions

Springer International Publishing 2015; US$ 89.99Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation... more...

#### Threading Homology through Algebra

Oxford University Press, UK 2006; US$ 149.99Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them. - ;Threading Homology through Algebra takes homological themes... more...

#### Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Cambridge University Press 1994; US$ 76.00First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts. more...

#### Handbook of Categorical Algebra: Volume 3, Sheaf Theory

Cambridge University Press 1994; US$ 104.00Third in a three part set, this volume introduces topos theory and the idea of sheaves. more...

#### Homological Mirror Symmetry and Tropical Geometry

Springer International Publishing 2014; US$ 59.99The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the ?tropical? approach to Gromov-Witten theory and the work... more...