Topology

From the Preface: K-theory was introduced by A.

For many years, algebraic topology rests on three legs: "e;ordinary"e; cohomology, K-theory, and cobordism.

For this printing of R.

Einstein's equations stem from General Relativity.

Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics.

This book gives an introduction to modern geometry.

The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras.

The main goal of the CIME Summer School on "e;Algebraic Cycles and Hodge Theory"e; has been to gather the most active mathematicians in this area to make the point on the present state of the art.

This book makes a systematic study of the relations between the etale cohomology of a scheme and the orderings of its residue fields.

Symmetry has a strong impact on the number and shape ofsolutions to variational problems.

The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry.

During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington.

The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction.

The equivariant derived category of sheaves is introduced.

Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent.

The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees.

Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory.

A Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so that the image is precisely such a manifold.

The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces.

This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.

This book reviews recent results on low-dimensional quantumfield theories and their connection with quantum grouptheory and the theory of braided, balanced tensorcategories.

These proceedings reflect the main activities of the Paris Seminaire d'Algebre 1989-1990, with a series of papers in Invariant Theory, Representation Theory and Combinatorics.

Gromov's theory of hyperbolic groups have had a big impactin combinatorial group theory and has deep connections withmany branches of mathematics suchdifferential geometry,representation theory, ergodic theory and dynamical systems.

The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.

As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention.

The theory of Quantum Groups is a rapidly developing areawith numerous applications in mathematics and theoreticalphysics, e.

A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S.

This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts.

The book focuses on the relation between transformation groups and algebraic K-theory.

The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology.

The papers in this collection, all fully refereed, originalpapers, reflect many aspects of recent significant advancesin homotopy theory and group cohomology.

These proceedings include selected and refereed original papers; most are research papers, a few are comprehensive survey articles.

This book is written in a pedagogical style intelligible for graduate students.

This book is a general introduction to Higher AlgebraicK-groups of rings and algebraic varieties, which were firstdefined by Quillen at the beginning of the 70's.

Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures.

Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved.