Assertion: unit sphere | /r/HasProperty | partitioned into countably many pieces
Facets:
value: infinitely
type: DEGREE
value: with two pieces
type: OTHER
Source sentences:
text: Using the fact that the free group F 2 of rank 2 admits a free subgroup of countably infinite rank, a similar proof yields that the unit sphere Sn−1 can be partitioned into countably infinitely many pieces, each of which is equidecomposable (with two pieces) to the Sn−1 using rotations.