On the topological complexity of 2-torsion lens spaces

On the topological complexity of 2-torsion lens spaces

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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 K-theory to obtain new lower bounds for the topological complexity of 2-torsion lens spaces. We follow a program set up by Jesus Gonzalez, and answer a question posed by him.