Add to ORKGAbstract. A ballean is a set X endowed with some family F of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. Then we define the asymp-totic counterparts for dense and open subsets, introduce two cardinal invariants (density and cellularity) of balleans and prove some results concerning relationship between these invariants. We conclude the pa-per with applications of obtained partitions of left topological group in dense subsets
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an a...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
A ballean is a set X endowed with some family F of balls in such a way that a ballean can be conside...
A ballean is a set X endowed with some family of subsets of X which are called the balls. We postula...
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered ...
A ballean is a set endowed with some family of subsets which are called the balls. The properties of...
summary:A ballean is a set endowed with some family of balls in such a way that a ballean can be con...
For every ballean ▫$X$▫ we introduce two cardinal characteristics ▫$text{cov}^flat(X)$▫ and ▫$text{c...
A subset S of a topological group G is called bounded if, for every neighborhood U of the identity...
AbstractWe introduce balleans as asymptotical counterparts of uniform topological spaces. Using slow...
[EN] A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or ent...
Abstract. A ballean is a set endowed with some family of balls in such a way that a ballean can be c...
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
International audienceWe apply some of the ideas of the Ph.D. Thesis of G. A. Margulis [Mar70] to Te...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an a...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
A ballean is a set X endowed with some family F of balls in such a way that a ballean can be conside...
A ballean is a set X endowed with some family of subsets of X which are called the balls. We postula...
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered ...
A ballean is a set endowed with some family of subsets which are called the balls. The properties of...
summary:A ballean is a set endowed with some family of balls in such a way that a ballean can be con...
For every ballean ▫$X$▫ we introduce two cardinal characteristics ▫$text{cov}^flat(X)$▫ and ▫$text{c...
A subset S of a topological group G is called bounded if, for every neighborhood U of the identity...
AbstractWe introduce balleans as asymptotical counterparts of uniform topological spaces. Using slow...
[EN] A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or ent...
Abstract. A ballean is a set endowed with some family of balls in such a way that a ballean can be c...
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
International audienceWe apply some of the ideas of the Ph.D. Thesis of G. A. Margulis [Mar70] to Te...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an a...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...