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Get Classifying Immersions into ℝ4 over Stable Maps of PDF

Since the I × ]D determinant we know is a diffeomorphism. i:i. we Thus, can on of cover I : (u,~) the Jacobian x 0 On with the of preserving diffeomorphism. Let 2 = _~2 and 12o(Ix~) where : x2a2(u,x,y) (x~(u,x,y),yB(u,x,y)) required If in t h a t the of of balls these I x 0, 1 x ~ : ~ > 1 x 0 0 is p o s i t i v e on each balls on I x 0, of w h i c h (ixS) is 1 x 0 obviously 1 × 8 is a n o r i e n t a t i o n -i (1×8) , and let llO(l×~) and 6 > 0.

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Classifying Immersions into ℝ4 over Stable Maps of 3-Manifolds into ℝ2 by Harold Levine (auth.)


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