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

Using the given table, identify if the claim is entailed, neutral, or refuted. Output only the JSON object {"answer": "YOUR ANSWER"}.

Claim: Poincaré conjecture is an unsolved math problem

answer: neutral