Example image of eyePlorer eyePlorer map for 'Identity component': Closed set Connected space Identity element Mathematics Normal subgroup Topological group Continuous function (topology) Automorphism Open set Totally disconnected group Clopen set Lie group Discrete group Quotient group Finite group Linear algebraic group Green's relations Split-complex number Klein four-group Lev Pontryagin Reductive group Cartan subgroup Radical of an algebraic group Abstract index group Representation theory of diffeomorphism groups Table of Lie groups Compact group Motor variable Prym variety Orthogonal group Algebraic group Möbius transformation Spin group Lorentz group Indefinite orthogonal group Adjoint representation Maximal torus Exponential map Holonomy 2 × 2 real matrices Component General linear group Orientation (mathematics) Diffeomorphism Dihedral group