Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Zhu, Zhongjian"'
Autor:
Zhu, Zhongjian
In this paper, we develop the new method, initiated by B. Gray (1972), to compute the unstable homotopy groups of the mapping cone, especially for $2$-cell complex $X=S^m\cup_{\alpha} e^{n}$. By Gray's work mentioned above or the traditional method g
Externí odkaz:
http://arxiv.org/abs/2410.20416
Autor:
Jin, Tian, Zhu, Zhongjian
In this paper, we calculate the $n+3$, $n+4$ dimensional homotopy groups of indecomposable $\mathbf{A}_n^2$-complexes after localization at 2. This job is seen as a sequel to P.J. Hilton's work on the $n+1,n+2$ dimensional homotopy groups of $\mathbf
Externí odkaz:
http://arxiv.org/abs/2402.11226
Autor:
Zhu, Zhongjian, Jin, Tian
In this paper, we develop the new method to compute the homotopy groups of the mapping cone $C_f=Y\cup_{f}CX$ beyond the metastable range by analysing the homotopy of the $n$-th filtration of the relative James construction $J(X,A)$ for CW-pair $A\st
Externí odkaz:
http://arxiv.org/abs/2402.07072
Autor:
Li, Pengcheng, Zhu, Zhongjian
Under the assumption that certain Adem cohomology operation acts trivially on $H^2(M;\mathbb{Z}/2)$, we determine the homotopy types of the triple suspension $\Sigma^3M$ of a simply-connected oriented closed topological(or smooth) $6$-manifold $M$, w
Externí odkaz:
http://arxiv.org/abs/2402.02450
Autor:
Li, Pengcheng, Zhu, Zhongjian
In this paper we determine the homotopy types of the reduced suspension space of certain connected orientable closed smooth $5$-manifolds. As applications, we compute the reduced $K$-groups of $M$ and show that the suspension map between the third co
Externí odkaz:
http://arxiv.org/abs/2311.16642
Autor:
Li, Pengcheng, Zhu, Zhongjian
We study the homotopy decompositions of the suspension $\Sigma M$ of an $(n-1)$-connected $(2n+2)$ dimensional Poincar\'{e} duality complex $M$, $n\geq 2$. In particular, we completely determine the homotopy types of $\Sigma M$ of a simply-connected
Externí odkaz:
http://arxiv.org/abs/2306.12869
Autor:
Zhu, Zhongjian, Pan, Jianzhong
In this paper, we calculate the 2-local unstable homotopy groups of indecomposable $\mathbf{A}_3^2$-complexes. The main technique used is analysing the homotopy property of $J(X,A)$, defined by B. Gray for a CW-pair $(X,A)$, which is homotopy equival
Externí odkaz:
http://arxiv.org/abs/2302.05591
Autor:
Zhu, Zhongjian, Pan, Jianzhong
In this paper, we classify the congruence classes of $\mathbf{F}^5_{n(2)}$-polyhedra, i.e. $(n-1)$-connected, at most $(n+5)$-dimensional polyhedra with 2-torsion free homology. The proof relies on the matrix problem technique which was developed in
Externí odkaz:
http://arxiv.org/abs/1810.08882
Autor:
Zhu, Zhongjian, Pan, Jianzhong
In this paper, we determine the decomposability of smash product of two indecomposable A_n^2-complexes, i.e., (n-1)-connected finite CW-complexes with dimension at most n+2 (n\geq 3).
Externí odkaz:
http://arxiv.org/abs/1606.00624
Autor:
Pan, Jianzhong, Zhu, Zhongjian
In this paper, we study the stable homotopy types of $\mathbf{F}^4_{n(2)}$-polyhedra, i.e., $(n-1)$-connected, at most $(n+4)$-dimensional polyhedra with 2-torsion free homologies. We are able to classify the indecomposable $\mathbf{F}^4_{n(2)}$-poly
Externí odkaz:
http://arxiv.org/abs/1509.07932