Example image of eyePlorer eyePlorer map for 'Continuous function (topology)': Mathematics Morphism Topological space Topology Characterizations of the category of topological spaces Image (mathematics) Open set Closed set Neighbourhood (mathematics) Ball (mathematics) Metric space Neighbourhood system Continuous function Hausdorff space Limit point Directed set Limit of a sequence Net (mathematics) First-countable space Sequential space Closure operator Closeness (mathematics) Compact space Connected space Comparison of topologies Identity map Discrete space Kolmogorov space Trivial topology Domain of a function Partially ordered set Topological property Open and closed maps Subspace topology Bijection Inverse function Homeomorphism Affine representation Continuous linear operator Covering group Fibration Final topology Homotopy Homotopy category Initial topology Lefschetz fixed-point theorem Normal operator One-parameter group Open mapping theorem (functional analysis) Operator algebra