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The Whitehead manifold is a union of two Euclidean spaces
Author(s) -
Gabai David
Publication year - 2011
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtr010
Subject(s) - mathematics , disjoint sets , manifold (fluid mechanics) , limit (mathematics) , pure mathematics , euclidean geometry , mathematical analysis , geometry , mechanical engineering , engineering
We show that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to ℝ 3 that intersect in an ℝ 3 . These submanifolds are the complements of disjoint D 2 ‐limit laminations.
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