Pengcheng Li

activity

20192026

most cited(Co)Homology Self-closeness Numbers of Simply-connected Spaces

6 citations · 8 across the 12 of their papers we have counts for

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7 papers · 1 filter

math.AT2023

Suspension Homotopy of $(n - 1)$ -connected $(2 n + 2)$ -dimensional Poincaré Duality Complexes

Pengcheng Li, Zhongjian Zhu

We study the homotopy decompositions of the suspension $Σ M$ of an $(n - 1)$ -connected $(2 n + 2)$ dimensional Poincaré duality complex $M$ , $n \geq 2$ . In particular, we completely deter…

math.AT2022

Homotopy Types of Suspended $4$ -manifolds

Pengcheng Li

Given a closed, smooth, connected, orientable $4$ -manifold $M$ , whose integral homology groups can have $2$ -torsion, we determine the homotopy decomposition of the double suspensio…

math.AT2022

Self-closeness numbers of product spaces

Pengcheng Li

The self-closeness number of a CW-complex is a homotopy invariant defined by the minimal number $n$ such that every self-maps of $X$ which induces automorphisms on the first $n$ ho…

math.AT2022

Suspension Splitting and Cohomotopy Sets of Simply Connected $7$ -manifolds

Ruizhi Huang, Pengcheng Li

Let $M$ be a closed simply connected $7$ -manifold. In this paper we establish homotopy decompositions of the reduced suspension space $Σ M$ into a wedge sum of simpler spaces when l…

math.AT2022

On Modular Cohomotopy Groups

Pengcheng Li, Jianzhong Pan, Jie Wu

Let $p$ be a prime and let $π^{n} (X; Z / p^{r}) = [X, M_{n} (Z / p^{r})]$ be the set of homotopy classes of based maps from CW-complexes $X$ into the mod $p^{r}$ Moore spaces $M_n(\…

math.AT2020

Homotopy classification of based maps between $A_{n}^{2}$ -complexes

Pengcheng Li

Let $X, Y$ be $(n - 1)$ -connected finite pointed CW-complexes of dimension at most $n + 2$ , $n \geq 3$ . In this paper we give elementary proofs of the abelian group structure of $[X, Y]$ …

math.AT2019★ 6 cited

(Co)Homology Self-closeness Numbers of Simply-connected Spaces

Pengcheng Li

The (co)homology self-closeness number of a simply-connected based CW-complexes $X$ is the minimal number $k$ such that any self-map $f$ of $X$ inducing an automorphism of the (co)…

Suspension Homotopy of (n−1)-connected (2n+2)-dimensional Poincaré Duality Complexes

Homotopy Types of Suspended 4-manifolds

Self-closeness numbers of product spaces

Suspension Splitting and Cohomotopy Sets of Simply Connected 7-manifolds

On Modular Cohomotopy Groups

Homotopy classification of based maps between An2​-complexes

(Co)Homology Self-closeness Numbers of Simply-connected Spaces

Suspension Homotopy of $(n - 1)$ -connected $(2 n + 2)$ -dimensional Poincaré Duality Complexes

Homotopy Types of Suspended $4$ -manifolds

Suspension Splitting and Cohomotopy Sets of Simply Connected $7$ -manifolds

Homotopy classification of based maps between $A_{n}^{2}$ -complexes