Abstract
We show that for each fixed non-constant complex polynomial P of the plane there exists a homeomorphism h such that P ∘ h is a Lipschitz quotient mapping. This corrects errors in the construction given earlier in [7]. Further we introduce a stronger notion of pointwise co-Lipschitzness and characterise its equivalence to the standard pointwise definition whilst also highlighting its relevance to a long-standing conjecture concerning Lipschitz quotient mappings ℝn→ℝn, n ≥ 3.
Original language | English |
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Pages (from-to) | 1747-1766 |
Number of pages | 20 |
Journal | Pure Appl. Funct. Anal. |
Volume | 8 |
Issue number | 6 |
Publication status | Published - 15 Jan 2024 |
Keywords
- Lipschitz quotient
- strongly co-Lipschitz