Topology

Eine gleichermaßen aktuelle wie zusammenfassende Darstellung der wichtigsten Methoden zur Untersuchung der klassischen Gruppen fehlte bislang in deutschsprachigen Lehrbüchern.

The homotopy index theory was developed by Charles Conley for two- sided flows on compact spaces.

Due to the lack of proper bibliographical sources stratification theory seems to be a "e;mysterious"e; subject in contemporary mathematics.

Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "e;qualitative theory"e;.

An ultrafilter is a truth-value assignment to the family of subsets of a set, and a method of convergence to infinity.

In 1890 P.

The object of this book is a presentation of the major results relating to two geometrically inspired problems in analysis.

Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L.

This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the author's doctoral dissertation [54J written under the direction of Professor William Browder.

The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation that their joint work on the Beltrami equation has deep implications for the theory of Kleinian groups and their deformations.

This unusual book, richly illustrated with 29 colour illustrations and about 200 line drawings, explores the relationship between classical tessellations and three-manifolds.

This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space.

First encyclopedia volume on topology, based on a highly successful Russian edition.

This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas.

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Plurisubharmonic functions playa major role in the theory of functions of several complex variables.

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors.

The present monograph is motivated by two distinct aims.

Fixed-point algorithms have diverse applications in economics, optimization, game theory and the numerical solution of boundary-value problems.

This book is an exposition of the technique of surgery on simply-connected smooth manifolds.

The theory presented in this book is developed constructively, is based on a few axioms encapsulating the notion of objects (points and sets) being apart, and encompasses both point-set topology and the theory of uniform spaces.

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects.

This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series.

This book is an extended version of lectures given by the ?

After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected.

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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.