Abstract
<p style='text-indent:20px;'>The paper provides a list of mathematical objects, constructions and notions, which were revealed and introduced in the course of creation and development of the boundary control method. Among them, there are: amplitude integral, equidistant transforms of 3d vector fields, <inline-formula><tex-math id="M1">\begin{document}$ s $\end{document}</tex-math></inline-formula>-points in acoustic scattering, formulas for Betti numbers via DN-map, eikonal algebras, wave spectrum of symmetric semi-bounded operator. We describe these objects and explain how they work for solving inverse problems.</p>
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