Box topology
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Definition
Let ((Xα,Jα))α∈I be an arbitrary family of topological spaces. The box topology is the topology generated by the following basis[1]:
- B:={∏α∈IUα | (Uα)α∈I∈∏α∈IJα} - the basis consisting of all Cartesian products of all open sets from ((Xα,Jα))α∈I[Note 1]
TODO: Check this expression
Notes
- Jump up ↑ Badly phrased, it should mean all tuples of the form (Uα)α∈I where ∀α∈I[Uα∈Jα]
References
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