Example image of eyePlorer eyePlorer map for 'Category of topological spaces': Category (mathematics) Continuous function Mathematics Morphism Topological space Function composition Category theory Topological manifold Concrete category Function (mathematics) Set (mathematics) Category of sets Forgetful functor Adjoint functors Discrete space Trivial topology Functor Right inverse Subcategory Comparison of topologies Complete lattice Fiber (mathematics) Subset Greatest element Initial topology Complete category Limit (category theory) Diagram (category theory) Final topology Cone (category theory) Empty set Initial and terminal objects Singleton (mathematics) Cartesian product Product (category theory) Product topology Coproduct Disjoint union (topology) Equalizer Subspace topology Coequalizer Quotient space Direct limit Inverse limit Adjunction space Pushout (category theory) Epimorphism Homeomorphism Injective function Isomorphism