Extremal densities and measures on groups and $G$-spaces and their combinatorial applications
Taras Banakh

TL;DR
This paper discusses extremal densities and measures on groups and G-spaces, exploring their combinatorial applications through lecture notes aimed at Ph.D. students.
Contribution
It introduces new extremal density concepts and their applications in combinatorics within the context of groups and G-spaces.
Findings
Development of extremal densities on groups
Application of measures to combinatorial problems
Lecture-based exposition for advanced students
Abstract
This text contains lecture notes of the course taught to Ph.D. students of Jagiellonian University in Krakow on 25-28 November, 2013.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Advanced Topology and Set Theory · Advanced Operator Algebra Research
