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math.MG2020
Equipartition of a segment
Sergey Avvakumov, Roman Karasev
We prove that, for any positive integer , a segment may be partitioned into possibly degenerate or empty segments with equal values of a continuous function of a segment…
math.CO2020
A subexponential size triangulation of
Karim Adiprasito, Sergey Avvakumov, Roman Karasev
We address a long-standing and long-investigated problem in combinatorial topology, and break the exponential barrier for triangulations of real projective space, constructing a tr…