Generalized Jiang and Gottlieb groups

Golasinski, M; de Melo, T

Golasinski, M (reprint author), Univ Warmia & Mazury, Fac Math & Comp Sci, Sloneczna St 54, PL-10710 Olsztyn, Poland.

GEORGIAN MATHEMATICAL JOURNAL, 2018; 25 (4): 523

Abstract

Given a map f : X -> Y, we extend Gottlieb's result to the generalized Gottlieb group G(f) (Y, f(x(0))) and show that the canonical isomorphism pi(1)(Y, f(x(0))) (sic) D(Y) restricts to an isomorphism G(f) (Y, f(x(0))) (sic) D-(f) over tilde0(Y), where D-(f) over tilde0(Y) is some subset of the group D(Y) of deck transformations of Y for a fixed lifting (f) over tilde (0) of f with respect to universal coverings of X and Y, respectively.

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