On free vector balleans

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Protasov, I., Protasova, K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188423
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On free vector balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 70–74. — Бібліогр.: 11 назв. — англ.

A vector balleans is a vector space over R endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean V(X, E) and describe the coarse structure of V(X, E). It is shown that normali...