OAI/GroupTheory/PolycyclicRecognition/Algebra/NilpotentChartCountability.lean
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Countability and Haar measure on the chosen nilpotent factors
- theorem
OAI.PolycyclicRecognition.NilpotentLieModel.secondCountable_of_chartline 17Source documentation
The actual exponential chart transports the countable topology of a finite-dimensional real vector space to the selected factor.
theorem secondCountable_of_chart (chart : GroupLieAlgebra (𝓘(ℝ, N.modelSpace)) N.carrier ≃ₜ N.carrier) : SecondCountableTopology N.carrier := by …