[Merged by Bors] - feat(topology/compact_open): express the compact-open topology as an Inf of topologies #9106
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… Inf of topologies (#9106) For `f : C(α, β)` and a set `s` in `α`, define `f.restrict s` to be the restriction of `f` as an element of `C(s, β)`. This PR then proves that the compact-open topology on `C(α, β)` is equal to the infimum of the induced compact-open topologies from the restrictions to compact sets.
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For
f : C(α, β)and a setsinα, definef.restrict sto be the restriction offas an element ofC(s, β). This PR then proves that the compact-open topology onC(α, β)is equal to the infimum of the induced compact-open topologies from the restrictions to compact sets.