On free vector balleans

• Datum: 2019
• Hauptverfasser: Protasov, Igor, Protasova, Ksenia
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: coarse structure; ballean; vector ballean; free vector ballean; 46A17; 54E35
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1351
• Назва журналу: Algebra and Discrete Mathematics

A vector balleans is a vector space over \(\mathbb{R}\) endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean \((X, \mathcal{E})\), there exists the unique free vector ballean \(\mathbb{V}(X, \mathcal{E})\) and describe the coa...