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weitere empfehlenswerte Bücher von Mortimer Brian
Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups … mehr »
geschrieben von John D. Dixon (Autor) und Brian Mortimer (Autor)
This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a …
This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years …
Homotopy Theory, Resolutions for Fibrations, and P-local Spaces.- Sullivan Models.- Graded Differential …
Andrzej Granas studied in Warsaw and then Moscow, where he earned his doctorate in 1958 under Lazar Lusternik. Since 1958 he has held various research and teaching posts in Poland, Canada, and …
"The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between …
The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between …
ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 1418, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking …
The Underlying Geometry of the Fixed Centers Problems, A. Albouy; Critical Equations for the Polyharmonic Operator, T. Bartsch; Heat Method in Nonlinear Elliptic Equations, K-C. Chang; Boundary …
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and …
Preface; 1. The surgery classification of manifolds; 2. Manifolds; 3. Homotopy and homology; 4. Poincare duality; 5. Bundles; 6. Cobordism theory; 7. Embeddings, immersions and singularities; 8. …
This book is an account of the combinatorics of projective spaces over a finite field, with special emphasis on one and two dimensions. With its successor volumes, Finite projective spaces over three …
1. Finite fields; 2. Projective spaces and algebraic varieties; 3. Subspaces; 4. Partitions; 5. Canonical forms for varieties and polarities; 6. The line; 7. First properties of the plane; 8. Ovals; …
This volume consists of the first two volumes of …
1. Invariants and moduli; 2. Rings and polynomials; 3. Algebraic varieties; 4. Algebraic groups and rings of invariants; 5. Construction of quotient spaces; 6. Global construction of quotient …
This is the first systematic and self-contained textbook on homotopy methods in the study of periodic points of a map. A modern exposition of the classical topological fixed-point theory with a …
From the contentsPreface. Fixed Point Problems.- Lefschetz-Hopf Fixed Point Theory.- Periodic Points by the Lefschetz Theory.- Nielsen Fixed Point Theory.- Periodic Points by the Nielsen Theory.- …
For many years, algebraic topology rests on three legs: "ordinary" cohomology, K-theory, and cobordism. This book is the first guide on the subject of cobordism since R. Stong's encyclopaedic and …
Foreword.- Preface.- Introduction.- Chapter I. Notation, Conventions and Other Preliminaries.- Chapter II. Spectra and (Co)homology Theories.- Chapter III. Phantoms.- Chapter IV. Thom Spectra.- …
Hansjorg Geiges is Professor of Mathematics in the …
The first comprehensive introduction to contact topology. Ideal for graduate …
Foreword; 1. Facets of Contact Geometry; 2. Contact Manifolds; 3. Knots in Contact 3-Manifolds; 4. Contact Structures on 3-Manifolds; 5. Symplectic Fillings and Convexity; 6. Contact Surgery; 7. …
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