Abstract
The sphere lemma of A. Connes says that a compact oriented, 2-dimensional measured lamination of positive Euler characteristic has many sphere leaves. The original proof of Connes uses non-commutative geometry. We give a new proof, using branched surface methods borrowed from 3-manifold theory, and some measure theory imported via Rochlin's lemma.
Original language | English (US) |
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Pages (from-to) | 195-216 |
Number of pages | 22 |
Journal | Quarterly Journal of Mathematics |
Volume | 52 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2001 |
All Science Journal Classification (ASJC) codes
- General Mathematics