The weak categorical quiver minor theorem and its applications: matchings, multipaths, and magnitude cohomology

L Caputi, C Collari, E Ramos - arXiv preprint arXiv:2401.01248, 2024 - arxiv.org
Building upon previous works of Proudfoot and Ramos, and using the categorical framework
of Sam and Snowden, we extend the weak categorical minor theorem from undirected …

Optimal colored Tverberg theorems for prime powers

D Jojić, G Panina, RT Živaljević - arXiv preprint arXiv:2005.11913, 2020 - arxiv.org
The type A colored Tverberg theorem of Blagojevi\'{c}, Matschke, and Ziegler provides
optimal bounds for the colored Tverberg problem, under the condition that the number of …

The coloured Tverberg theorem, extensions and new results

D Jojić, GY Panina, R Živaljević - Izvestiya: Mathematics, 2022 - iopscience.iop.org
We prove a multiple coloured Tverberg theorem and a balanced coloured Tverberg
theorem, applying different methods, tools and ideas. The proof of the first theorem uses a …

Colored Tverberg problem, extensions and new results

D Jojić, G Panina, RT Živaljević - arXiv preprint arXiv:2002.09186, 2020 - arxiv.org
We prove a" multiple colored Tverberg theorem" and a" balanced colored Tverberg
theorem", by applying different methods, tools and ideas. The proof of the first theorem uses …

Цветная теорема Тверберга, обобщения и новые результаты

Д Йойич, ГЮ Панина, Р Живалевич - Известия Российской академии …, 2022 - mathnet.ru
Мы доказываем кратную цветную теорему Тверберга и сбалансированную цветную
теорему Тверберга, пользуясь различными методами и приемами. Доказательство …

[PDF][PDF] A multiset extension of the optimal colored Tverberg theorem

D Jojić, G Panina, RT Živaljević - arXiv preprint arXiv:2005.11913, 2020 - academia.edu
The type A colored Tverberg theorem of Blagojević, Matschke, and Ziegler (Theorem 1.2)
provides optimal bounds for the colored Tverberg problem, under the condition that the …

Известия Российской академии наук. Серия математическая

АЮ Колесов, НХ Розов - Izv. Math, 2001 - mathnet.ru
САНазаров, ““Дальнодействие” концентрированных масс в двумерных задачах Неймана и
Дирихле”, Изв. РАН. Сер. матем., 87:1 (2023), 65–118; Izv. Math., 87:1 (2023), 61–112 …