Example image of eyePlorer eyePlorer map for 'Locally connected space': Mathematics Neighbourhood system Topological space Topology Compact space Connected space Euclidean distance Euclidean space Heine–Borel theorem Hausdorff space Locally compact space Local homeomorphism Manifold Metrization theorem Covering space Subspace topology Cantor space Discrete space Totally disconnected space Topologist's sine curve Rational number Comb space Cofiniteness Hyperconnected space Local property Disjoint union (topology) Equivalence class Equivalence relation Connected component Clopen set Collation Order topology Lower limit topology Infinite broom John L. Kelley Locally simply connected space Classification of Fatou components Dendrite (mathematics) Peano space Semi-locally simply connected Size pair Cocountable topology Homeotopy Locally constant function Monodromy Unit interval Hilbert's sixteenth problem Shape optimization Carathéodory's theorem (conformal mapping) Covering group