Example image of eyePlorer eyePlorer map for 'Closed manifold': Compact space Manifold Mathematics Topological space Circle Real line Disk (mathematics) Closed set One-form Shape of the Universe Disjoint union Geometric topology Klein bottle Torus Whitney embedding theorem Atiyah–Singer index theorem Borel conjecture Closed surface Genus of a multiplicative sequence Nielsen-Thurston classification Open book decomposition Prescribed scalar curvature problem Quantum cohomology Quaternionic projective space Signature operator Spherical 3-manifold Trigenus Virtually fibered conjecture Virtually Haken conjecture Affiliated operator Casson invariant Compact Riemann surface Fundamental class Hodge theory Incompressible surface Poincaré duality Size homotopy group Spectral asymmetry AdS/CFT correspondence Hartle–Hawking state Mapping torus Minimal volume Poincaré conjecture Riemann–Roch theorem for smooth manifolds Atiyah–Bott fixed-point theorem Cheeger constant Signature (topology) Spin(7)-manifold Spectral triple Coherent duality