Topological Persistence in Geometry and Analysis
Topological Persistence in Geometry and Analysis
Subjects
MathematicsAlgebraic topologyHomology theoryCombinatorial topologySymplectic geometryMathematical analysisAlgebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- None of the above, but in this sectionGlobal 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,Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]