In this paper, nu-principal cycles of surfaces immersed in R-4 are studied. In terms of geometric invariants, an integral expression for the first derivative of the Poincare mapping associated with a nu-principal cycle is ...

In this paper we use infinite linear programming to study Markov control processes in Borel spaces and the average cost criterion in the "unichain" and "multichain" cases. Under appropriate assumptions we show that in both ...