Jun Wang

most citedBorsuk's Problem in Metric Spaces

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.MG2022★ 1 cited

Borsuk's Problem in Metric Spaces

Jun Wang, Fei Xue, Chuanming Zong

In 1933, K. Borsuk proposed the following problem: Can every bounded set in $E^{n}$ be divided into $n + 1$ subsets of smaller diameters? In 1965, V. G. Boltyanski and I. T. G…

math.MG2022★ 1 cited

Borsuk's partition problem in four-dimensional $ℓ_{p}$ space

Jun Wang, Fei Xue

In 1933, Borsuk made a conjecture that every $n$ -dimensional bounded set can be divided into $n + 1$ subsets of smaller diameter. Up to now, the problem is still open for $4\leq n\le…

math.MG2021

A note on the maximal perimeter and maximal width of a convex small polygon

Fei Xue, Yanlu Lian, Jun Wang +1

The polygon $P$ is small if its diameter equals one. When $n = 2^{s}$ , it is still an open problem to find the maximum perimeter or the maximum width of a small $n$ -gon. Motivated by B…

Borsuk's Problem in Metric Spaces

Borsuk's partition problem in four-dimensional ℓp​ space

A note on the maximal perimeter and maximal width of a convex small polygon

Borsuk's partition problem in four-dimensional $ℓ_{p}$ space