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Theorems · Definition · functional analysis

WithLp.homeomorphProd

(p : ENNReal) →
  (α : Type u_2) →
    (β : Type u_3) → [inst : TopologicalSpace α] → [inst_1 : TopologicalSpace β] → WithLp p (α × β) ≃ₜ α × β

WithLp.equiv as a homeomorphism.

Defined in
Mathlib.Analysis.Normed.Lp.ProdLp
Cited by
2 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WithLp.toHomeomorph_uniformEquivProd · cited by 0WithLp.toHomeomorph_unifo…WithLp.toEquiv_homeomorphProd · cited by 0WithLp.toEquiv_homeomorph…TopologicalSpace · cited by 24529TopologicalSpaceENNReal · cited by 9879ENNRealEquiv · cited by 8337EquivHomeomorph · cited by 725HomeomorphWithLp · cited by 345WithLpWithLp.equiv · cited by 8WithLp.equivWithLp.homeomorphProdCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.