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math.CO2003
Topology and Combinatorics of Partitions of Masses by Hyperplanes
Peter Mani-Levitska, Sinisa Vrecica, Rade Zivaljevic
One of our result is that 5 measurable sets in always admit an equipartition by 2 hyperplanes. This is an instance of a general equipartition problem (formulated by B. Gr{\"…
math.CO2003
Symmetric products of surfaces and the cycle index
Pavle Blagojevic, Vladimir Grujic, Rade Zivaljevic
We express the signature of the symmetric product of an (open) surface in terms of the cycle index of , a polynomial which or…
math.CO2003
Arrangements of symmetric products of spaces
Pavle Blagojevic, Vladimir Grujic, Rade Zivaljevic
Using the topological technique of diagrams of spaces, we calculate the homology of the union and the complement of finite arrangements of subspaces of the form i…