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

collaborators

Showing 2022Show all

4 papers · 1 filter

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(\…

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 Types of Suspended $4$ -manifolds

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