ABSTRACT. We construct the first example of a coarsely non-amenable ( = without Guoliang Yu’s property A) metric space with bounded geometry which coarsely em-beds into a Hilbert space. 1
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of vi...
We construct the first example of a coarsely non-amenable (= without Guoliang Yu’s property A) metri...
AbstractWe study Guoliang Yu's Property A and construct metric spaces which do not satisfy Property ...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
The purpose of this paper is to prove that locally finite metric spaces are coarsely embeddable into...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
Definition 1 Let A and B be metric spaces. A mapping f: A → B is called a coarse embedding (or a uni...
Many results in large scale geometry are proven for a metric space. However, there exists many large...
We generalize the construction of Arzhantseva, Guentner and Spakula of a box space of the free group...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
Coarse structures are an abstract construction describing the behavior of a space at a large distanc...
Article published in Mathematics Exchange, 8(1), 2011.In [2] an invariant of metric spaces under bor...
Introduced by Gromov in the 80's, coarse embeddings are a generalization of quasi-isometric embeddin...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of vi...
We construct the first example of a coarsely non-amenable (= without Guoliang Yu’s property A) metri...
AbstractWe study Guoliang Yu's Property A and construct metric spaces which do not satisfy Property ...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
The purpose of this paper is to prove that locally finite metric spaces are coarsely embeddable into...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
Definition 1 Let A and B be metric spaces. A mapping f: A → B is called a coarse embedding (or a uni...
Many results in large scale geometry are proven for a metric space. However, there exists many large...
We generalize the construction of Arzhantseva, Guentner and Spakula of a box space of the free group...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
Coarse structures are an abstract construction describing the behavior of a space at a large distanc...
Article published in Mathematics Exchange, 8(1), 2011.In [2] an invariant of metric spaces under bor...
Introduced by Gromov in the 80's, coarse embeddings are a generalization of quasi-isometric embeddin...
The central idea of coarse geometry is to focus on the properties of metric spaces which survive und...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of vi...