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Also displayed in Fig.~\ref{fig:lumi} are the expected instantaneous luminosity expected for two linear collider projects, ILC~\cite{cite:ILCTDR} and CLIC~\cite{cite:CLICDR}, as a function of the centre-of-mass energy. It is remarkable that the luminosity expected at TLEP is between one and three orders of magnitude larger that that expected for a linear collider, at all centre-of-mass energies from the Z pole to the $\ttbar$ threshold, where precision measurements are to be made, hence where the accumulated statistics will be a key feature : TLEP is therefore in a unique position to perform these measurements with a meaningful accuracy. The access to the high-energy frontier is discussed in Section~\ref{sec:VHE-LHC} for both the linear and the circular colliders.  Upgrading the luminosity beyond the values given above is not impossible -- although it cannot be guaranteed today. The goal is to eliminate other sources of beam life time than the particle-particle interactions themselves, and then to increase those until the injector capacity is saturated. Since at present the lifetime caused by interactions is estimated to be 16 minutes (1000 seconds), a factor of 10 in luminosity can in principle be gained if injection every 10 seconds of 10\% of the beam is possible. The solution that comes to mind is to eliminate beamstrahlung by means of "charge compensation", in which each beam would be accompanied with an additional beam of the opposite charge. While this was tried unsuccessfully with limited success  in Orsay, this technique might be applicable with improved beam controls -- this possibility and the implications for the accelerator design will be investigated as a possible upgrade path of the machine.