The local to global $H_0$ ratio and the SNe Ia results

The effects of differences between the local and global values of the Hubble parameter on the cosmologies consistent with studies of high-redshift Type Ia supernov\ae are discussed. It is found that with a local Hubble parameter around 10 per cent higher than the global value then open cosmological models (such as ${\mathrm{\Omega }}_M=0.3,{\mathrm{\Omega }}_{\mathrm{\Lambda }}=0$) are prefered and if the local value is around 20 per cent higher then standard cosmological models (${\mathrm{\Omega }}_M=1,{\mathrm{\Omega }}_{\mathrm{\Lambda }}=0$) can be recovered. Even in the case where the Hubble parameter ratio is 1, low ${\mathrm{\Omega }}_M$ open cosmologies with ${\mathrm{\Omega }}_{\mathrm{\Lambda }}=0$ are not rejected at the 95 per cent confidence level.