Ziqin Feng

activity

20092023

most cited

P

-bases and Topological Groups

2 citations · 5 across the 12 of their papers we have counts for

collaborators

13 papers

math.CO2023

Homotopy types of Vietoris-Rips complexes of Hypercube Graphs

Ziqin Feng

We describe the homotopy types of Vietoris-Rips complexes of hypercube graphs at scale $3$ . We represent the vertices in the hypercube graph $Q_{m}$ as the collection of all subsets…

math.CO2023

On Vietoris-Rips complexes of Finite Metric Spaces with Scale $2$

Ziqin Feng, Naga Chandra Padmini Nukala

We examine the homotopy types of Vietoris-Rips complexes on certain finite metric spaces at scale $2$ . We consider the collections of subsets of $[m] = {1, 2, \dots, m}$ equipped…

math.GN2021

Sub-posets in $ω^{ω}$ and the Strong Pytkeev $^{*}$ Property

Ziqin Feng, Naga Chandra Padmini Nukala

Tukey order are used to compare the cofinal complexity of partially order sets (posets). We prove that there is a $2^{c}$ -sized collection of sub-posets in $2^{ω}$ which for…

math.GN2020★ 2 cited

$P$ -bases and Topological Groups

Ziqn Feng

A topological space $X$ is defined to have a neighborhood $P$ -base at any $x \in X$ from some poset $P$ if there exists a neighborhood base $(U_{p} [x])_{p \in P}$ at $x$ such that $U_p…

math.GN2020

Compact Spaces with a $P$ -base

Alan Dow, Ziqin Feng

In the paper, we investigate (scattered) compact spaces with a $P$ -base for some poset $P$ . More specifically, we prove that, under the assumption $ω_{1} < b$ , any compact s…

math.GN2019★ 1 cited

Continuous Selections of Lower semicontinuous Set-valued Mappings

Ziqin Feng, Gary Gruenhage, Rongxin Shen

A space $X$ is strongly $Y$ -selective (resp., $Y$ -selective) if every lower semicontinuous mapping from $Y$ to the nonempty subsets (resp., nonempty closed subsets) of $X$ has a co…

Homotopy types of Vietoris-Rips complexes of Hypercube Graphs

On Vietoris-Rips complexes of Finite Metric Spaces with Scale 2

Sub-posets in ωω and the Strong Pytkeev∗ Property

P-bases and Topological Groups

Compact Spaces with a P-base

Continuous Selections of Lower semicontinuous Set-valued Mappings

On Vietoris-Rips complexes of Finite Metric Spaces with Scale $2$

Sub-posets in $ω^{ω}$ and the Strong Pytkeev $^{*}$ Property

$P$ -bases and Topological Groups

Compact Spaces with a $P$ -base