Inverse function theorem
AssessTechniques
A theorem guaranteeing local invertibility of differentiable maps under a non-vanishing Jacobian.
Why it's here
Placed in Assess: 1 article(s) of evidence from 1 source(s), led by research-stage coverage, with 1 in the last 30 days. Confidence 24%. Low accumulated evidence, so it defaults conservatively pending more signal.
Evidence (1)
- 7Hacker News·7/21/2026researchTerence Tao Explains a Counterexample to the Jacobian Conjecture
Terence Tao published an expository post digging into a recently found counterexample to the Jacobian conjecture in three dimensions. The article reframes the construction in geometric terms and explains how local injectivity can fail to imply global invertibility in this setting. The conjecture remains open in two dimensions.