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math.AT2022
The homotopy fixed point sets of spheres actions on rational complexes
Yanlong Hao, Xiugui Liu, Qianwen Sun
In this paper, we describe the homotopy type of the homotopy fixed point sets of -actions on rational spheres and complex projective spaces, and provide some properties of $S^…
math.AT2022
On the rational homotopical nilpotency index of principal bundles
Yanlong Hao, Xiugui Liu
Let denote the space of all self-fibre homotopy equivalences of a principal -bundle of simply connected CW complexes with finite. When …
math.AT2022
Two-stage spaces and the torus rank conjecture
Yanlong Hao, Xiugui Liu, Qianwen Sun
In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.