Topology

How is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, t...

In geometric knot theory, a central issue is to study the various geometric properties of knots when the knots have certain thickness. This setting...

This book explores a number of new applications of invariant quasi-finite diffused Borel measures in Polish groups for a solution of various proble...

The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising...

Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying par...