M. Patrakeev

activity

20142023

most citedMetrizable images of the Sorgenfrey line

6 citations · 6 across the 9 of their papers we have counts for

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Showing 2018 · math.GNShow all

2 papers · 2 filters

math.GN2018

A space with a Lusin $π$ -base whose square has no Lusin $π$ -base

Mikhail Patrakeev

We construct a space $X$ that has a Lusin $π$ -base and such that $X^{2}$ has no Lusin $π$ -base.

math.GN2018

A simple closed curve in $R^{3}$ whose convex hull equals the half-sum of the curve with itself

Mikhail Patrakeev

If $Γ$ is the range of a Jordan curve that bounds a convex set in $R^{2},$ then $\frac{1}{2} (Γ + Γ) = co (Γ),$ where $+$ is the Minkowski sum and $co$ is the co…

A space with a Lusin π-base whose square has no Lusin π-base

A simple closed curve in R3 whose convex hull equals the half-sum of the curve with itself

A space with a Lusin $π$ -base whose square has no Lusin $π$ -base

A simple closed curve in $R^{3}$ whose convex hull equals the half-sum of the curve with itself