Example image of eyePlorer eyePlorer map for 'Topological manifold': Euclidean space Hausdorff space Mathematics Topological space Manifold Differentiable manifold Differential structure Homeomorphism Neighbourhood (mathematics) Paracompact space Second-countable space Discrete space Klein bottle Surface Torus Compact space N-sphere Circle Complex number Projective space Quaternion Real number Real projective space Complex projective space Quaternionic projective space Generalized flag variety Grassmannian Stiefel manifold Lens space Quotient space Group (mathematics) Lie group Subspace topology Product topology Disjoint union (topology) Connected sum Local homeomorphism Topological property Contractible space First-countable space Locally compact space Locally connected space Metrization theorem Tychonoff space Connected space Open set If and only if T1 space Pathological (mathematics) Long line (topology)