This volume reflects the work of the Brazilian topology community. It also contains the work of some topologists who either collaborate or interact with a Brazilian topologist. Most of the work has been done in algebraic and geometric topology.

This volume reflects the work of the Brazilian topology community. It also contains the work of some topologists who either collaborate or interact with a Brazilian topologist. Most of the work has been done in algebraic and geometric topology.

This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.

Many authors have questioned the use of the index of the vector field, and of the Chern classes, if the underlying space becomes singular. This book discusses their explorations within the framework of the obstruction theory and the Chern-Weil theory.