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I tried 

\begin{tikzpicture}[scale=0.5]

as indicated in the manual but it had no effect.

Is there an alternative to achieve the desired effect? Is there a guide to the acceptable values for scale -?

leandriis
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Jim Stasheff
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    Welcome to TeX.SX! [scale=0.5] should actually work. Without seeing a minimal working example (MWE) that shows what you tried, it is impossible to tell you, why [scale=0.5] did not wokr in your case. Therefore, please edi your question to include such a MWE. – leandriis Nov 17 '19 at 17:10
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    Maybe you want to scale something that isn't scalable without additionally applying the transform shape key. – Skillmon Nov 17 '19 at 17:57
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    In addition to the above two comments, which cover almost all typical situations, it should be mentioned that line widths to not scale when using the scale key. So you may either scale them explicitly, or use e.g. https://tex.stackexchange.com/a/515305/194703. Moreover, in some special circumstances you may rather need the the key transform canvas={scale=0.5} and/or \pgflowlevelsynccm. However, be aware that the last two options are to be used with great care and may come with severe side effects when not used in the right way. –  Nov 17 '19 at 19:35
  • \begin{tikzpicture}[scale=0.5] \matrix(a)[matrix of math nodes, row sep=5em, column sep=6em, text height=1.5ex, text depth=0.25ex] {T_{-1}\ T_{-2} &S^2(T_{-1})\ { } & S^2(T_{-1}\oplus T_{-2})&S^3(T_{-1})\}; \path-> edge node[left]{$\pa_{-1} $} (a-1-1); \path->> edge node[above left]{$q_0$ } (a-2-1); \path -> edge node[above]{$m_0$} (a-2-2); \path -> edge node[left]{$\pa_{-1} $} (a-2-2); \path -> edge node[above]{$q_0$ } (a-3-2); \end{tikzpicture} – Jim Stasheff Nov 18 '19 at 18:26

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