2 papers
math.MG2026
Convex fair partitions into an arbitrary number of pieces
Arseniy Akopyan, Sergey Avvakumov, Roman Karasev
We prove that any convex body in the plane can be partitioned into convex parts of equal areas and perimeters for any integer ; this result was previously known for pri…
math.MG2025
Borsuk-Ulam type theorems for metric spaces
Arseniy Akopyan, Roman Karasev, Alexey Volovikov
In this paper we study the problems of the following kind: For a pair of topological spaces and find sufficient conditions that under every continuous map a pa…