On free vector balleans

dc.contributor.author	Protasov, I.
dc.contributor.author	Protasova, K.
dc.date.accessioned	2019-12-05T10:11:31Z
dc.date.available	2019-12-05T10:11:31Z
dc.date.issued	2019
dc.identifier.uri	http://hdl.handle.net/123456789/4417
dc.description	Protasov I.On free vector balleans / I.Protasov , K.Protasova // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp.70-74	uk_UA
dc.description.abstract	A vector balleans is a vector space over R en- dowed with a coarse structure in such a way that the vector opera- tions 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_US	uk_UA
dc.publisher	ДЗ "ЛНУ імені Тараса Шевченка"	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	coarse structure	uk_UA
dc.subject	ballean	uk_UA
dc.subject	vector ballean	uk_UA
dc.subject	free vector ballean	uk_UA
dc.title	On free vector balleans	uk_UA
dc.type	Article	uk_UA

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Algebra and Discrete Mathematics. - № 1 (27). - 2019
This is a special issue of our journal devoted to the 75th anniversary of the birth of Volodymyr Kyrychenko