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feat(Topology): the ULift functor #20345

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In this PR, we define the functor uliftFunctor.{v} : TopCat.{u} ⥤ TopCat.{max u v} which sends a topological space in Type u to a homeomorphic space in Type (max u v).


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@joelriou joelriou added the t-topology Topological spaces, uniform spaces, metric spaces, filters label Dec 30, 2024
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github-actions bot commented Dec 30, 2024

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

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