Manifolds | Topology | Algebraic topology

Configuration space (mathematics)

In mathematics, a configuration space is a construction closely related to state spaces or phase spaces in physics. In physics, these are used to describe the state of a whole system as a single point in a high-dimensional space. In mathematics, they are used to describe assignments of a collection of points to positions in a topological space. More specifically, configuration spaces in mathematics are particular examples of configuration spaces in physics in the particular case of several non-colliding particles. (Wikipedia).

Configuration space (mathematics)
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Topological space | Orbifold | Homotopy | Homeomorphism | Ran space | Massey product | CW complex | Emil Artin | Discrete group | Symmetric group | Classifying space | Phase space | Non-positive curvature | Simply connected space | Degree (graph theory) | Eilenberg–MacLane space | Cubical complex | Braid group | Connected space | Mathematics | Fundamental group | Manifold | Tuple | Moduli space | Lens space | State space (physics) | State space | Graph (topology)