Longyun Ding

activity

20092026

most citedOn equivalence relations generated by Schauder bases

2 citations · 7 across the 15 of their papers we have counts for

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Showing 2010Show all

3 papers · 1 filter

math.LO2010

Borel reducibility and finitely Holder(α) embeddability

Longyun Ding

Let $(X_{n}, d_{n}), n \in N$ be a sequence of pseudo-metric spaces, $p \geq 1$ . For $x, y \in \prod_{n \in N} X_{n}$ , let $(x,y)\in E((X_n)_{n\in\Bbb N};p)\Leftrightarrow\sum_{n\in\Bbb…

math.LO2010

Characterization of $ℓ_{p}$ -like and $c_{0}$ -like equivalence relations

Longyun Ding

Let $X$ be a Polish space, $d$ a pseudo-metric on $X$ . If ${(u, v) : d (u, v) < δ}$ is $Π_{1}^{1}$ for each $δ > 0$ , we show that either $(X, d)$ is separable or there are $δ > 0$ and a per…

math.LO2010

A trichotomy for a class of equivalence relations

Longyun Ding

Let $X_{n}, n \in N$ be a sequence of non-empty sets, $ψ_{n} : X_{n}^{2} \to R^{+}$ . We consider the relation $E ((X_{n}, ψ_{n})_{n \in N})$ on $\prod_{n \in N} X_{n}$ by $(x,y)\in E((X_n,ψ…

Borel reducibility and finitely Holder(α) embeddability

Characterization of ℓp​-like and c0​-like equivalence relations

A trichotomy for a class of equivalence relations

Characterization of $ℓ_{p}$ -like and $c_{0}$ -like equivalence relations