Simple-connectivity of the Browder-Novikov Theorem |
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Page 1
... Browder - Novikov Theorem by M. Kervaire and A. Vasquez In this note we construct a family of odd dimensional , closed , combinatorial manifolds none of which has the homotopy type of a closed differentiable manifold . These manifolds ...
... Browder - Novikov Theorem by M. Kervaire and A. Vasquez In this note we construct a family of odd dimensional , closed , combinatorial manifolds none of which has the homotopy type of a closed differentiable manifold . These manifolds ...
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... น now have ~ = { ( x , v ) e S1 x R1 + 1 | f ( x ) ____ v and this is obviously the " pull - back " under f of the tangent bundle of sn - Thus [ n ] = deg f ̧ [ T ] • * BIBLIOGRAPHY 1. Browder , W. , Homotopy type of Differentiable.
... น now have ~ = { ( x , v ) e S1 x R1 + 1 | f ( x ) ____ v and this is obviously the " pull - back " under f of the tangent bundle of sn - Thus [ n ] = deg f ̧ [ T ] • * BIBLIOGRAPHY 1. Browder , W. , Homotopy type of Differentiable.
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Michel A. Kervaire, A. Vasquez. BIBLIOGRAPHY 1. Browder , W. , Homotopy type of Differentiable Manifolds , Aarhus ... Novikov , P. S. 10. Robertello , N.Y.U. Thesis , Communications of Pure and Applied Math . ( to appear ) . انه ...
Michel A. Kervaire, A. Vasquez. BIBLIOGRAPHY 1. Browder , W. , Homotopy type of Differentiable Manifolds , Aarhus ... Novikov , P. S. 10. Robertello , N.Y.U. Thesis , Communications of Pure and Applied Math . ( to appear ) . انه ...
Common terms and phrases
abelian argument assume boundary Bson calculate cell clear Clearly closed differential manifold combinatorial equivalence connected construct contained copies corresponding curve D²n x s¹ degree denote diffeomorphic to s2n-1 differentiable imbedding differential structure divisible element elementary ideal Essential exactly fact follows given hence homotopy type identified identity imbedded sphere immediate inclusion induced integer intersection coefficient intersection number inverse image isomorphic knot Lemma on normal M²n+1 method modification module necessary normal bundle normal field obtained obvious permutation points pole position presentation PRESERVATION proof properties prove pushed relation matrix rely Remark represented result retract Rn+1 Robertello's S¹ x s² v s2n+1 s²n+1 shows similar spherical surjective suspension symmetric taken tangent bundle term theorem transversally trivial tubular usual values vary vector field Z[J]-module