Filip Turobo's

activity

20182025

most citedApproximate solutions to the Travelling Salesperson Problem on semimetric graphs

1 citations · 1 across the 7 of their papers we have counts for

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math.GN2025

Spectre operator, achievement sets and sets of P-sums in a hyperspace of compact sets

Piotr Nowakowski, Franciszek Prus-Wiśniowski, Filip Turoboś

Let $(X, +, d)$ be an Abelian metric group and $A \subset X$ . We investigate the spectre of a set $A$ , defined as the set of all elements $z \in X$ such that for every $x \in A$ either…

math.GN2023

How much can we extend the Assouad embedding theorem?

Filip Turoboś, Oleksiy Dovgoshey

The celebrated Assouad embedding theorem has been known for over 40 years. It states that for any doubling metric space (with doubling constant $C_{0}$ ) there exists an integer $N$ ,…

math.GN2018

A measure of non-compactness on $T_{3 \frac{1}{2}}$ spaces based on Arzelà-Ascoli type theorem

Filip Turoboś

The purpose of this paper is to generalize the measure of non-compactness for the space of continuous functions over the $T_{3 \frac{1}{2}}$ space. Motivated by the generalized Arz…

Spectre operator, achievement sets and sets of P-sums in a hyperspace of compact sets

How much can we extend the Assouad embedding theorem?

A measure of non-compactness on T321​​ spaces based on Arzelà-Ascoli type theorem

A measure of non-compactness on $T_{3 \frac{1}{2}}$ spaces based on Arzelà-Ascoli type theorem