This paper has three parts. First, we establish some of the basic model theoretic facts about $M_{\mathcal{T}}$, Tsirelson space Figiel and Johnson \cite{FJ}. Second, using results first part, give general Banach spaces. Third, study model-theoretic dividing lines in spaces their theories. In~particular, show: (1) $M_{\mathcal{T}}$ \emph{non independence property} (NIP); (2) every that is $\ale...