V'aclav Vlas'ak

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20152026

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math.CA2019

On $k$ -antichains in the unit $n$ -cube

Christos Pelekis, Václav Vlasák

A \emph{chain} in the unit $n$ -cube is a set $C \subset [0, 1]^{n}$ such that for every $x = (x_{1}, \dots, x_{n})$ and $y = (y_{1}, \dots, y_{n})$ in $C$ we either have $x_i\le y_…

math.CA2019

A continuous analogue of Erdős' $k$ -Sperner theorem

Themis Mitsis, Christos Pelekis, Václav Vlasák

A \emph{chain} in the unit $n$ -cube is a set $C \subset [0, 1]^{n}$ such that for every $x = (x_{1}, \dots, x_{n})$ and $y = (y_{1}, \dots, y_{n})$ in $C$ we either have $x_i\le y_…

On k-antichains in the unit n-cube

A continuous analogue of Erdős' k-Sperner theorem

On $k$ -antichains in the unit $n$ -cube

A continuous analogue of Erdős' $k$ -Sperner theorem