Generalized Jiang and Gottlieb groups
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Data
2018-12-01
Autores
Golasiński, Marek
De Melo, Thiago [UNESP]
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Resumo
Given a map f: X → Y we extend Gottlieb's result to the generalized Gottlieb group G (Y,f(x 0)and show that the canonical isomorphism π 1(Y, f(x 0)) → (Y) π1(Y,f(x0))→D(Y) restricts to an isomorphism Gf (Y, f(x 0))→ f ∼ 0(Y) Gf(Y,f(x0)) toDf0(Y), where f ∼ 0 (Y) Df 0(Y)is some subset of the group(Y)D(Y) of deck transformations of Y for a fixed lifting f0 of f with respect to universal coverings of X and Y, respectively.
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Deck transformation, fber-preserving map, Gottlieb group, Jiang group, universal covering map, Whitehead center group
Como citar
Georgian Mathematical Journal, v. 25, n. 4, p. 523-528, 2018.