Topology

Classical in its approach, this textbook is thoughtfully designed and composed in two parts.

This volume deals with the theory of finite topological spaces and itsrelationship with the homotopy and simple homotopy theory of polyhedra.

This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics withinthe field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.

Intersection cohomology assigns groups which satisfy a generalized form of Poincare duality over the rationals to a stratified singular space.

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This book discusses the basic geometric contents of an image and presents a treedatastructuretohandleite?

This volume grew out of a series of preprints which were written and circulated - tween 1993 and 1994.

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area.

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration.

Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks.

A self-contained introduction is given to J.

Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory.

This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets.

The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity.

This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences.

The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry.

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory.

The book describes some interactions of topology with other areas of mathematics and it requires only basic background.

The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes.

Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties.

The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface.

This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras.

In this monograph we give an exposition of some recent development in homotopy theory.

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990.

The theme of the monograph is an interplay between dynamical systems and group theory.

Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields.

Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology.

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory.

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation.

This volume compiles three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field.

In my long professional life as a mathematician I have had to deliver various survey lectures.

Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems ofnonlinear differential equations, such as the equa- tions of geodesics, minimal surfaces, pseudoholomorphic curves and Yang- Mills connections.

Compactness is related to a number of fundamental concepts of mathemat- ics.

This book provides a concise and effective introduction to twisted Rabinowitz–Floer homology, a generalization of Rabinowitz–Floer homology.

This book provides a concise and effective introduction to twisted Rabinowitz–Floer homology, a generalization of Rabinowitz–Floer homology.

Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R.

A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology.

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves.

Nearly one hundred years ago Jacques Hadamard used infinite sequences of symbols to analyze the distribution of geodesics on certain surfaces.