Linked from

The 11 pages that link to Product topology, each with the reason it gives.

• Topological spaceBroader topic: It supplies a standard way to combine topological spaces into a larger one.

• Connected 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.

• Tychonoff's theoremBroader topic: It is the topology in which Tychonoff’s product remains compact.

• 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.

• Basis (topology)Broader topic: Its basis makes neighborhoods in large products precise.

• General topologyBroader topic: It constructs spaces from families of spaces while preserving coordinatewise continuity.

• Tube lemmaRelated: Basic open rectangles provide the local neighborhoods used in the proof.