L.S. Pontryagin Selected Works: Algebraic and differential topology |
Contents
Classification of the Mappings from an n + 1Dimensional | 14 |
Betti Numbers EulerPoincaré Formula | 41 |
INVARIANCE OF HOMOLOGY GROUPS | 49 |
Copyright | |
18 other sections not shown
Common terms and phrases
a₁ arbitrary assume b₁ barycentric coordinates barycentric subdivision basis belongs boundary point C₁ closed manifold coefficient group coincide compact completes the proof components construction contains continuous mapping coordinate system corresponds cycle defined Definition denote dimension domain e₁ elements En+k En+k+1 Euclidean space finite framed manifold framed submanifold function Furthermore g₁ Hence homeomorphic homeomorphic mapping homologous to zero homology class homology groups homotopic Hopf invariant hyperplane identity map interior point intersection invariant isomorphism K₁ lemma Let ƒ linear linearly independent M*+¹ mapping f mapping ƒ mapping g mapping of class matrix metric space modulo neighbourhood obtain orthogonal orthonormal polyhedron proof of Theorem proper point quaternions r-dimensional chain r-dimensional simplex simplicial mapping singular point small positive number smooth manifold smooth mapping sphere subcomplex subspace tangent topological U₁ vector space vertex vertices x₁ zero-dimensional