On free vector balleans

dc.contributor.author	Protasov, I.
dc.contributor.author	Protasova, K.
dc.date.accessioned	2023-02-28T19:09:13Z
dc.date.available	2023-02-28T19:09:13Z
dc.date.issued	2019
dc.identifier.citation	On free vector balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 70–74. — Бібліогр.: 11 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 46A17, 54E35
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188423
dc.description.abstract	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 normality of V(X, E) is equivalent to metrizability of (X, E).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On free vector balleans	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA