On the topological complexity of 2torsion lens spaces
On the topological complexity of 2torsion lens spaces

Don Davis , Lehigh University
Fine Hall 314
The topological complexity of a topological space is the minimum number of rules required to specify how to move between any two points of the space. A ``rule'' must satisfy the requirement that the path varies continuously with the choice of end points. We use connective complex Ktheory to obtain new lower bounds for the topological complexity of 2torsion lens spaces. We follow a program set up by Jesus Gonzalez, and answer a question posed by him.