Connection With Morse Theory
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Connection may refer to:


Mathematics

* Connection (algebraic framework) * Connection (mathematics), a way of specifying a derivative of a geometrical object along a vector field on a manifold * Connection (affine bundle) *
Connection (composite bundle) Composite bundles Y\to \Sigma \to X play a prominent role in gauge theory with symmetry breaking, e.g., gauge gravitation theory, non-autonomous mechanics where X=\mathbb R is the time axis, e.g., mechanics with time-dependent parameters, and so o ...
* Connection (fibred manifold) * Connection (principal bundle), gives the derivative of a section of a principal bundle * Connection (vector bundle), differentiates a section of a vector bundle along a vector field * Cartan connection, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry *
Ehresmann connection In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of the notion of a connection, which makes sense on any smooth fiber bundle. In particular, it does ...
, gives a manner for differentiating sections of a general fibre bundle * Electrical connection, allows the flow of electrons *
Galois connection In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). Galois connections find applications in various mathematical theories. They generalize the funda ...
, a type of correspondence between two partially ordered sets * Affine connection, a geometric object on a smooth manifold which connects nearby tangent spaces *
Levi-Civita connection In Riemannian or pseudo Riemannian geometry (in particular the Lorentzian geometry of general relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves th ...
, used in differential geometry and general relativity; differentiates a vector field along another vector field


Music

* ''Connection'' (The Green Children album), 2013 * ''Connection'' (Don Ellis album), 1972 * ''Connection'' (Up10tion album), 2021 * ''Connection'' (EP), a 2000 split EP by Home Grown and Limbeck *''Connection'', a 2019 EP by Seyong * "Connection" (Elastica song) (1994) * "Connection" (OneRepublic song) (2018) * "Connection" (Rolling Stones song) (1967) *"Connection", a 1976 song by Can from '' Unlimited Edition'' *"Connection", a song by Avail from '' Satiate''


Other uses

* ''Connection'' (film), a 2017 Konkani film in Goa * Connection (dance), a means of communication between the lead and the follow *
Layover 250px, Layover for buses at LACMTA's Warner Center Transit Hub, Los Angeles ">Los_Angeles.html" ;"title="Warner Center Transit Hub, Los Angeles">Warner Center Transit Hub, Los Angeles In scheduled transportation, a layover (also waypoint, way ...
or connection, a transfer from one means of transport to another


See also

* Connected sum * Connectedness * ''Connecting'' (TV series) * Connections (disambiguation) * Connexion (disambiguation) * Contiguity (disambiguation) * Database connection * Link (disambiguation) * PC Connection, a Fortune 1000, National Technology Solutions Provider, based in Merrimack, New Hampshire * Rapport * Six degrees of separation * Telecommunication circuit, the complete path between two terminals * The Connection (disambiguation) * Virtual connection, also known as a virtual circuit {{disambiguation