Algebraic topology books

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This work introduces tools, from the field of category theory, that make it possible to tackle until now unsolvable...  Read More >>

These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles...  Read More >>

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Koranyi: Holomorphic and harmonic functions on bounded symmetric domains.- J.L. Koszul: Formes harmoniques vectorielles...  Read More >>

J. Cerf: Invariants des paires d´espaces. Applications à la topologie differentielle.- A. Häfliger: Variétés feuilletées.-...  Read More >>

The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible...  Read More >>

An updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of...  Read More >>

A monograph, dealing with the topological fixed point theory in non-metric spaces. It looks at topological fixed...  Read More >>

The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection...  Read More >>

Cyclic homology was introduced in the early eighties independently by Connes and Tsygan. The cyclic homology groups...  Read More >>

This book is a first sketch of what the overall field of performance could look like as a modern scientific field...  Read More >>

This book is an introduction to manifolds at the beginning graduate level. The author’s book Introduction to Smooth...  Read More >>

High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds,...  Read More >>

In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the...  Read More >>

In Chapter 6, we describe the concept of braid equivalence from the topological point of view. In Chapter 10, we...  Read More >>

For many years, algebraic topology rests on three legs: 'ordinary' cohomology, K-theory, and cobordism. This book...  Read More >>

Algebraic K-theory...  Read More >>

Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Strong shape...  Read More >>

A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site...  Read More >>

This text exposes methods of non-abelian homological algebra, such as the theory of satellites in abstract categories...  Read More >>

Group cohomology has a rich history that goes back a century or more. Unlike the early applications which were primarily...  Read More >>

The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. It contains different definitions...  Read More >>

A NATO Advanced Study Institute entitled ""Algebraic K-theory...  Read More >>

The Hauptvermutung is the conjecture that any two triangulations of a poly­ hedron are combinatorially equivalent....  Read More >>