Locally everywhere does not imply everywhere

· John Cook · July 21, 2026, 12:52 p.m.
Summary
John D. Cook discusses a recent discovery related to the Jacobian conjecture, highlighting the curiosity around mathematicians' beliefs regarding the conjecture prior to the counterexample found by Levent Alpöge. The post raises questions about the implications of local truths not guaranteeing global validity in mathematics.
AUTHOR
Sponsored
Zulip logo Zulip
Organized team chat for people who take work seriously. Topic-based threading keeps conversations focused.
Try Zulip
Become a sponsor →
BLOG POST FEATURED ON

Add this plugin to your blog