summary:This paper discusses properties of the Higson corona by means of a quotient on coarse ultrafilters on a proper metric space. We use this description to show that the corona functor is faithful and reflects isomorphisms
The K-theory of the stable Higson corona of a coarse space carries a canonical ring structure. The p...
In this article, we introduce the notion of a functor on coarse spaces being coarsely excisive- a co...
This paper is an addendum to the author's previous paper ["A nonstandard invariant of coarse spaces,...
summary:This paper discusses properties of the Higson corona by means of a quotient on coarse ultraf...
Let X and Y be proper metric spaces. We show that a coarsely n-to-1 map f:X→Y induces an n-to-1 map ...
International audienceA uniform Roe corona is the quotient of the uniform Roe algebra of a metric sp...
summary:We show that, under CH, the corona of a countable ultrametric space is homeomorphic to $\ome...
summary:We prove that for an unbounded metric space $X$, the minimal character $\mathsf m\chi(\check...
The K-theory of the stable Higson corona of a coarse space carries a canonical ring structure. This ...
AbstractLet X be a proper metric space and let νX be its Higson corona. We prove that the covering d...
For every metric space ▫$X$▫ we introduce two cardinal characteristics ▫${rm cov}^flat(X)$▫ and ▫${r...
In this note on coarse geometry we revisit coarse homotopy. We prove that coarse homotopy indeed is ...
Hartmann E. Coarse Sheaf Cohomology. Mathematics. 2023;11(14): 3121.A certain Grothendieck topology ...
Abstract. We show that the dimension of the sublinear Higson corona of a metric space X is the small...
In this article, we set up a framework for homotopy theory in coarse geometry by defining a notion o...
The K-theory of the stable Higson corona of a coarse space carries a canonical ring structure. The p...
In this article, we introduce the notion of a functor on coarse spaces being coarsely excisive- a co...
This paper is an addendum to the author's previous paper ["A nonstandard invariant of coarse spaces,...
summary:This paper discusses properties of the Higson corona by means of a quotient on coarse ultraf...
Let X and Y be proper metric spaces. We show that a coarsely n-to-1 map f:X→Y induces an n-to-1 map ...
International audienceA uniform Roe corona is the quotient of the uniform Roe algebra of a metric sp...
summary:We show that, under CH, the corona of a countable ultrametric space is homeomorphic to $\ome...
summary:We prove that for an unbounded metric space $X$, the minimal character $\mathsf m\chi(\check...
The K-theory of the stable Higson corona of a coarse space carries a canonical ring structure. This ...
AbstractLet X be a proper metric space and let νX be its Higson corona. We prove that the covering d...
For every metric space ▫$X$▫ we introduce two cardinal characteristics ▫${rm cov}^flat(X)$▫ and ▫${r...
In this note on coarse geometry we revisit coarse homotopy. We prove that coarse homotopy indeed is ...
Hartmann E. Coarse Sheaf Cohomology. Mathematics. 2023;11(14): 3121.A certain Grothendieck topology ...
Abstract. We show that the dimension of the sublinear Higson corona of a metric space X is the small...
In this article, we set up a framework for homotopy theory in coarse geometry by defining a notion o...
The K-theory of the stable Higson corona of a coarse space carries a canonical ring structure. The p...
In this article, we introduce the notion of a functor on coarse spaces being coarsely excisive- a co...
This paper is an addendum to the author's previous paper ["A nonstandard invariant of coarse spaces,...