The Zeeman conjecture, due to Christopher Zeeman, asks whether, for any finite contractible two-dimensional CW complex K, the product of K with the unit interval is collapsible. The conjecture, if true, would imply both the Poincare conjecture and the Andrews-Curtis conjecture.
Facts
StatementFor a finite contractible 2-dimensional CW complex K, the product of K with the unit interval is collapsible. 1 Classification
Resolution Status Prize Status
Prize Status (category) Connections
In Branch
Source Zeeman Conjecture (Wikipedia)
Posed By
Source Zeeman Conjecture (Wikipedia)
Sources
1. Zeeman Conjecture (Wikipedia)
Lead section
asks whether given a finite contractible 2-dimensional CW complex K
Posed By: Christopher Zeeman, Lead
The conjecture, due to Christopher Zeeman
View the SourceZeeman's Conjecture (Kupers survey)
Section 2, opening paragraphQuote, Section 2, opening paragraph
It is still open, though we will later see that it is partially settled by Perelman's proof of the Poincare conjecture.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.