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LeanPool.HopfProblem.Toric.CuspHoneycombHexagon

Hopf problem: toric · cusp honeycomb hexagon #

Supporting definitions and proofs for this stage of the six-sphere construction.

theorem Mathoverflow1973.CuspHoneycombRadial.exists_homeomorph_extending_frontier {E : Type u_1} [NormedAddCommGroup E] [NormedSpace ℝ E] {K : Set E} (hconv : Convex ℝ K) (hclosed : IsClosed K) (hbounded : Bornology.IsBounded K) (hne : (interior K).Nonempty) (e : ↑(frontier K) ≃ₜ ↑(frontier K)) :
∃ (F : E ≃ₜ E), ⇑F '' K = K ∧ ∀ (x : ↑(frontier K)), F ↑x = ↑(e x)