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math.CA2019
On -antichains in the unit -cube
Christos Pelekis, Václav Vlasák
A \emph{chain} in the unit -cube is a set such that for every and in we either have $x_i\le y_…
math.CA2019
A continuous analogue of Erdős' -Sperner theorem
Themis Mitsis, Christos Pelekis, Václav Vlasák
A \emph{chain} in the unit -cube is a set such that for every and in we either have $x_i\le y_…
math.CA2018
The de Bruijn-Erdős theorem from a Hausdorff measure point of view
Martin Doležal, Themis Mitsis, Christos Pelekis
Motivated by a well-known result in extremal set theory, due to Nicolaas Govert de Bruijn and Paul Erdős, we consider curves in the unit -cube of the form \[ A=\{(x,f_…