KnowraProduct topologyLinked fromLinked fromThe 11 pages that link to Product topology, each with the reason it gives.All 11Broader topic 4Related 7Connected spaceRelated: Products of connected spaces are connected, extending the property to large constructions.HomotopyRelated: A homotopy is a continuous map on the product of a space with an interval.Subspace topologyRelated: Subspaces of products inherit open sets from the product topology.Homotopy equivalenceRelated: Homotopies can be expressed as continuous maps from a product with the interval.Sequential compactnessRelated: Product topology makes the failure of arbitrary product preservation especially visible.Banach–Alaoglu theoremRelated: Coordinatewise convergence in this topology corresponds to weak-* convergence of functionals.Tube lemmaRelated: Basic open rectangles provide the local neighborhoods used in the proof.