Topology

The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science.

Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "e;control near infinity"e;.

This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology.

This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions.

A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.

This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view.

The homology of manifolds enjoys a remarkable symmetry: Poincare duality.

Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field.

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.