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- W2897539835 abstract "We show that the complex of free factors of a free group of rank n > 1 is homotopy equivalent to a wedge of spheres of dimension n-2. We also prove that for n > 1, the complement of (unreduced) Outer space in the free splitting complex is homotopy equivalent to the complex of free factor systems and moreover is (n-2)-connected. In addition, we show that for every non-trivial free factor system of a free group, the corresponding relative free splitting complex is contractible." @default.
- W2897539835 created "2018-10-26" @default.
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- W2897539835 date "2020-09-02" @default.
- W2897539835 modified "2023-10-03" @default.
- W2897539835 title "Homotopy type of the complex of free factors of a free group" @default.
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- W2897539835 doi "https://doi.org/10.1112/plms.12381" @default.
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