Before revision:  As an application, we illustrate the influence of the market dimension, i.e. the number of stocks in the market, on free lunch with vanishing risk and generalized arbitrage . Our proofs are based on explosion criteria for martingale problems, local measure changes, and comparison arguments .
After revision:  As an application, we illustrate the influence of the market dimension, i.e. the number of assets determines the absence of arbitrage while the sources of risk have the same dimension .