Generalized Jiang and Gottlieb groups


Generalized Jiang and Gottlieb groups is a scholarly work, published in 2018 in ''Georgian Mathematical Journal''. The main subjects of the publication include physics, symplectic geometry, geometry, group, isomorphism, deformation quantization, combinatorics, mathematics, and finite group. Abstract Given a map f : X → Y {f\colon X\to Y} , authors extend Gottlieb’s result to the generalized Gottlieb group G f ⁢ ( Y , f ⁢ ( x 0 ) ) {G^{f}(Y,f(x_{0}))} and show that the canonical isomorphism π 1 ⁢ ( Y , f ⁢ ( x 0 ) ) ⁢ → ≈ ⁢ ? ⁢ ( Y ) {\pi_{1}(Y,f(x_{0}))\overset{\approx}{\to}\mathcal{D}(Y)} restricts to an isomorphism G f ⁢ ( Y , f ⁢ ( x 0 ) ) ⁢ → ≈ ⁢ ? f ~ 0 ⁢ ( Y ) {G^{f}(Y,f(x_{0}))\overset{\approx}{\to}\mathcal{D}^{\tilde{f}_{0}}(Y)} , where ? f ~ 0 ⁢ ( Y ) {\mathcal{D}^{\tilde{f}_{0}}(Y)} is some subset of the group ? ⁢ ( Y ) DOI 10.1515/GMJ-2018-0060

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