Poincaré conjecture
Table:
Poincaré conjecture

A compact 2-dimensional surface without boundary is topologically homeomorphic to a 2-sphere if every loop can be continuously tightened to a point. The Poincaré conjecture asserts that the same is true for 3-dimensional spaces.

Field	Geometric topology
Conjectured by	Henri Poincaré
Conjectured in	1904
First proof by	Grigori Perelman
First proof in	2006
Implied by

Geometrization conjecture
Zeeman conjecture[1]

Equivalent to

Spherical space form conjecture

Thurston elliptization conjecture

Generalizations	Generalized Poincaré conjecture

Consulting the table, determine whether the statement is entailed, neutral, or refuted. Return the result as JSON: {"answer": "YOUR ANSWER"}.

Sentence: Poincaré conjecture is named after Henri Poincare.

answer: entailed