We survey some results and pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Special attention is paid to balleans on groups. The boundedness of functions that respect the coarse structure of a ballean could be considered as a coarse counterpart of pseudo-compactness
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the rela...
There are shown some implications from pseudocompactness to compactness or sequential compactness. T...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
A subset S of a topological group G is called bounded if, for every neighborhood U of the identity...
Some boundedness properties of function spaces (considered as topological groups) are studied.Mathem...
AbstractWe introduce balleans as asymptotical counterparts of uniform topological spaces. Using slow...
We study the combinatorial size of subsets of a ballean, as defined in [19,23] (largeness, smallness...
A ballean is a set X endowed with some family F of balls in such a way that a ballean can be conside...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
AbstractWe extend the principle ∑10-UB of uniform ∑10-boundedness introduced earlier by the author t...
[EN] A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or ent...
AbstractRoe [J. Roe, Lectures on Coarse Geometry, University Lecture Series, vol. 31, Amer. Math. So...
This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E),...
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
A ballean is a set X endowed with some family of subsets of X which are called the balls. We postula...
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the rela...
There are shown some implications from pseudocompactness to compactness or sequential compactness. T...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
A subset S of a topological group G is called bounded if, for every neighborhood U of the identity...
Some boundedness properties of function spaces (considered as topological groups) are studied.Mathem...
AbstractWe introduce balleans as asymptotical counterparts of uniform topological spaces. Using slow...
We study the combinatorial size of subsets of a ballean, as defined in [19,23] (largeness, smallness...
A ballean is a set X endowed with some family F of balls in such a way that a ballean can be conside...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
AbstractWe extend the principle ∑10-UB of uniform ∑10-boundedness introduced earlier by the author t...
[EN] A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or ent...
AbstractRoe [J. Roe, Lectures on Coarse Geometry, University Lecture Series, vol. 31, Amer. Math. So...
This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E),...
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
A ballean is a set X endowed with some family of subsets of X which are called the balls. We postula...
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the rela...
There are shown some implications from pseudocompactness to compactness or sequential compactness. T...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
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