Framings and Projective Framings for 3-Manifolds
classification
🧮 math.GT
keywords
admitsframingframingsmanifoldprojectiveproofbasicelementary
read the original abstract
We give an elementary proof of the fact that any orientable 3-manifold admits a framing (i.e. is parallelizable) and any non-orientable 3-manifold admits a projective framing. The proof uses only basic facts about immersions of surfaces in 3-space.
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