Topology

One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been t...

This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter o...

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invarian...

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this boo...

This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in hig...

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots,...

Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by...

From prehistory to the present, knots have been used for purposes both artistic and practical. The modern science of Knot Theory has ramifications ...

This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic ...

This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the...

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects hal...

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects hal...

Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The ...

These volumes collect most of the papers of Anatole Katok, one of the founders of the modern theory of dynamical systems. Katok's work reflects hal...

One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early...

Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation...

This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than questions in the traditional setti...