WILLIAMSTOWN, Mass., March 21, 2008 -- "Introduction to Topology," co-authored by mathematics professor Colin Adams, was recently released by Pearson Prentice Hall. "Introduction to Topology" is ...

Topology has journeyed from the purely mathematical arena to feature throughout physics. In the mid-twentieth century, George Gamow remarked that only number theory and topology had no application ...

But to understand why – and why mathematicians even care about holes in the first place — we have to travel through the history of topology, starting with how it differs from its close kin, geometry.

But if you take the task seriously, there’s a lot more to it. In fact, one of the largest subdisciplines in mathematics — topology — is devoted exactly to this kind of endeavor, and after centuries of ...

The introduction of a polymer chain to the wheel component of M2R (rotaxane linking of two polymer chains) produced a rotaxane-linked AB block copolymer that transformed its topology from linear ...

By integrating discrete topology with non-linear dynamics, the research highlights how topological signals, dynamical variables defined on nodes, edges, triangles, and other higher-order ...

"What we've found is that topology is a powerful resource for information encoding in the presence of noise," says Professor Andrew Forbes from the Wits School of Physics. Quantum entanglement is ...