# Connection - Mathematics

Mathematics

• Connection (mathematics), a way of specifying a derivative of a geometrical object along a vector field on a manifold
• Levi-Civita connection, used in differential geometry and general relativity; differentiates a vector field along another vector field
• Connection (vector bundle), differentiates a section of a vector bundle along a vector field
• Connection form, a manner of specifying a connection using differential forms
• Connection (principal bundle), gives the derivative of a section of a principle bundle
• Ehresmann connection, gives a manner for differentiating sections of a general fibre bundle
• Cartan connection, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry
• Connectedness, a property of topological space, graph or category (with different meanings)
• Connected category, a category for which, for every two objects, there is at least one morphism connecting them
• Connected space, a topological space which cannot be written as the disjoint union of two or more nonempty open spaces
• Connectivity (graph theory)
• Pixel connectivity
• Connected sum
• Galois connection, a type of correspondence between two partially ordered sets
• Connection (algebraic framework)