nLab
path space

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A path space is a mapping space for maps from the interval, a space of paths.

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Revised on September 16, 2011 23:13:35 by Anonymous Coward (71.31.209.1)
Edit | Back in time (2 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: Top, topological space, nice topological space, CW complex, topology, path space object, geometric realization, locale, sober topological space, directed topological space, A-infinity-category, filtered topological space, connected filtered space, topological group, homotopy group, m-cofibrant space, sequential topological space, compactly generated topological space, convenient category of topological spaces, Sierpinski space, specialization topology, shape theory, contractible space, etale space, category of open subsets, bundle gerbe, uniform space, compact topological space, topological stack, higher category theory and physics, Hausdorff space, path category, compact Lie group, connected space, local homeomorphism, locally compact space, neighborhood, topological vector space, Eilenberg-Mac Lane space, loop space, numerable open cover, algebraic topology, suspension, nerve and realization, sphere, paracompact topological space, second-countable space, Hurewicz connection, continuous map, singular cohomology, cartesian space, proximity space, compact-open topology, Dold fibration, neighborhood retract, separable space, subspace topology, string group, knot, Hurewicz fibration, suspension object, cocylinder, exponential law for spaces, one-point compactification, Serre fibration, delayed homotopy, linking number, isotopy, open cover, Euclidean-topological infinity-groupoid, sequentially compact space, topology - contents, stacked cover, open subspace, Stone space, functional, simplicial topological group, quotient space, partition of unity, Serre-Swan theorem, CW approximation, open map, Loc, locally contractible space, internal logic of an (infinity,1)-topos, Warsaw circle, smooth structure of the path groupoid, closed subspace, string topology, Thom space, good open cover, locally finite cover, nerve theorem, topological base, nice simplicial topological space, topological locale, frame of opens, formal topology, weak topology, shrinkable map, discrete and codiscrete topology, geometric realization of simplicial topological spaces, simplicial topological space, proper Lie groupoid, ball, boundary, topological groupoid, torus, link, Reidemeister move, circle, TopMfd, interior, convex set, finite topological space, Haefliger groupoid, covering dimension, Euclidean topology, polyhedron, Vassiliev skein relation, plane, polytope, annulus, clopen set, Kontsevich integral, free loop space, singular homology, proper topological groupoid, Milnor mu-bar invariants, writhe, Heyting dimension, locally equi-connected space, locally contractible topological infinity-groupoid, operator topology, relational beta-module, singular knot, Goldman bracket, C-infinity topology, locally compact topological group, closed map, Tychonoff space, product topological space, map from compact space to Hausdorff space, contents of contents, shift map, pointless topology, symplectic infinity-groupoid, path, maximal compact subgroup, Hamiltonian vector field, focal point, Delta-generated space, Hopf fibration, Sierpinski topos, almost connected topological group, compact topological group, schedule, closed cover, Heine-Borel theorem, strongly compact topological space, sequence space, first-countable space, syntopogenous space, low-dimensional topology, pseudocircle, geometry of physics, topological ring, degree of a continuous function, Hopf construction