Here are some suggestions for the final project and some
references to get you started.
Each topic will be limited to one person on a first come - first served
basis by talking to me about it. You may also find other topology topics
to work on.
A topic from the book that we have not covered in class.
Non-orientable surfaces - Projective space,
The Math of Non-Oreintable Surfaces
Classification of closed orientable surfaces
Euler's formula and topological invariants
Knots and links
Topology in biology and chemistry
Topology and economics
and electric circuit design
Topology of the internet
PhysicsWeb News - The
topology of the Internet
Visualizing Internet Topology at a Macroscopic Scale
Overview of the architecture and topology of the internet
Topology and robotics
Topology and the shape of the universe
Circles in the
Types of Universes
The Poincare conjecture