18 citations · 63 across the 14 of their papers we have counts for
Showing math.ATShow all
2 papers · 1 filter
math.AT2021
Topological lower bounds on the sizes of simplicial complexes and simplicial sets
Sergey Avvakumov, Roman Karasev
We prove that if an -dimensional space satisfies certain topological conditions then any triangulation of as well as any its representation as a simplicial set with cont…
math.AT2019★ 11 cited
Envy-free division using mapping degree
Sergey Avvakumov, Roman Karasev
In this paper we study envy-free division problems. The classical approach to such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and f…