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feat(Topology): the ULift functor #20345
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messageFile.md |
@@ -1747,6 +1747,13 @@ theorem continuous_uLift_down [TopologicalSpace X] : Continuous (ULift.down : UL | |||
theorem continuous_uLift_up [TopologicalSpace X] : Continuous (ULift.up : X → ULift.{v, u} X) := |
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Out of scope for this PR, but: @YaelDillies, am I right in saying the naming convention here (unfortunately) says this should be continuous_uliftUp
?
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Yes, that's what the naming convention says
In this PR, we define the functor
uliftFunctor.{v} : TopCat.{u} ⥤ TopCat.{max u v}
which sends a topological space inType u
to a homeomorphic space inType (max u v)
.