Mathematics Convergence of a manifold

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Mathematics
This paper explains how geometry and analysis science on figures with singular points are carried out. [Contents] Gromov Hausdorff distance / Riemann geometry speed learning / comparison theorem and its rigidity / limit space of Riemann manifold row / RCD space / Gromov Hausdorff convergence and functional analysis with measure / non-decay RCD space / spherical theorem / Appendix : manifold, Banach space and measure.