Text ( visual ) : unmediated Topological persistence in geometry and analysis / Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang. -- Providence, R. I. : American Mathematical Society , c2020. -- xi, 128 p. : ill. ; 26 cm. -- (University lecture series ; volume74). -- Includes bibliographical references (p. 115-119) and indexes. -- ISBN 9781470454951 ; (BC01788674) ; https://ci.nii.ac.jp/ncid/BC01788674 Author Heading(s): Polterovich, Leonid ; Rosen, Daniel ; Samvelyan, Karina ; Zhang, Jun. -- Classification(s): LCC : QA612 ; DC23 : 514/.2 ; DC23 : 514.2. -- Subject Heading(s): LCSH : Algebraic topology ; LCSH : Homology theory ; LCSH : Combinatorial topology ; LCSH : Symplectic geometry ; LCSH : Mathematical analysis ; FREE : Algebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- None of the above, but in this section. msc ; FREE : Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Calculus on manifolds; nonlinear operators [See also 46Txx]. msc ; FREE : Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]. msc