Topology

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.

This volume (a sequel to LNM 1108, 1214, 1334 and 1453)continues the presentation to English speaking readers ofthe Voronezh University press series on Global Analysis andIts Applications.

With one exception, these papers are original and fullyrefereed research articles on various applications ofCategory Theory to Algebraic Topology, Logic and ComputerScience.

The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact.

The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways.

This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory.

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem.

These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California.

This book provides the first extensive and systematic treatment of the theory of commutative coherent rings.

The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R.

The book explores the possibility of extending the notions of "e;Grassmannian"e; and "e;Gauss map"e; to the PL category.

The main subjects of the Siegen Topology Symposium are reflected in this collection of 16 research and expository papers.

Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences.

This volume is a collection of papers dedicated to the memory of V.

The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles.

The contributions making up this volume are expanded versions of the courses given at the C.

From the reviews of the 1st edition:"e;This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds.