Algebraic topology

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

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

Nato dall’esperienza dell’autore nell’insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.

This English edition has an additional chapter "e;Elements of Homological Al- gebra"e;.

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

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology.

This textbook provides a succinct introduction to algebraic topology.

This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay.

This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups.

Etale cohomology is an important branch in arithmetic geometry.

This book will be of great interest to researchers into algebraic topology.

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

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property.

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 explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

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Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold.

The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

This book is an attempt to give a systematic presentation of results and meth- ods which concern the fixed point theory of multivalued mappings and some of its applications.

Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

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.

This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

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

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics.

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

"e;Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan.

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

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.

A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.

This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets.

Introduction In the last few years a few monographs dedicated to the theory of topolog- ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM].

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.

Homological algebra first arose as a language for describing topological prospects of geometrical objects.