T. Mitsis

activity

20162019

most citedA fractal perspective on optimal antichains and intersecting subsets of the unit

n

-cube

1 citations · 1 across the 2 of their papers we have counts for

collaborators

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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_…

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 $n$ -cube $[0, 1]^{n}$ of the form \[ A=\{(x,f_…

math.CA2016

Menshov' "adjustment theorem" with respect to general measures

Themis Mitsis

A classical theorem of Menshov states that every measurable function can redefined on a set of arbitrarily small Lebesgue measure, so that the resulting function has uniformly conv…

A continuous analogue of Erdős' k-Sperner theorem

The de Bruijn-Erdős theorem from a Hausdorff measure point of view

Menshov' "adjustment theorem" with respect to general measures

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