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- W2022148102 abstract "Let $G$ be a topological group and let $P$ be a principal $G$-bundle over a based space $B$. We denote the gauge group of $P$ by $mathcal {G}(P)$ and the based gauge group of $P$ by $mathcal {G}_0(P)$. Then the inclusion of the basepoint of $B$ induces the exact sequence of topological groups $1to mathcal {G}_0(P)to mathcal {G}(P)to Gto 1$. We study the splitting of this exact sequence in the category of $A_n$-spaces and $A_n$-maps in connection with the triviality of the adjoint bundle of $P$ and with the higher homotopy commutativity of $G$." @default.
- W2022148102 created "2016-06-24" @default.
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- W2022148102 date "2010-12-01" @default.
- W2022148102 modified "2023-10-18" @default.
- W2022148102 title "Splitting of gauge groups" @default.
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- W2022148102 doi "https://doi.org/10.1090/s0002-9947-2010-05207-9" @default.
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