Immersions in the metastable dimension range via the normal bordism approach
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Data
2001-12-14
Autores
Biasi, C.
Goncalves, D. L.
Libardi, AKM
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
Let f : M --> N be a continuous map between two closed n-manifolds such that f(*): H-*(M, Z(2)) --> H-* (N, Z(2)) is an isomorphism. Suppose that M immerses in Rn+k for 5 less than or equal to n < 2k. Then N also immerses in Rn+k. We use techniques of normal bordism theory to prove this result and we show that for a large family of spaces we can replace the homolog condition by the corresponding one in homotopy. (C) 2001 Elsevier B.V. B.V. All rights reserved.
Descrição
Palavras-chave
normal bordism, immersion of manifold, localization, group action, nilpotent space
Como citar
Topology and Its Applications. Amsterdam: Elsevier B.V., v. 116, n. 3, p. 293-303, 2001.