3 citations · 4 across the 7 of their papers we have counts for
8 papers
Property {A} and duality in linear programming
G. C. Bell, A. Nagórko
Property A is a form of weak amenability for groups and metric spaces introduced as an approach to the famous Novikov higher signature conjecture, one of the most important unsolve…
Compactifications of unstable Nöbeling spaces
A. Nagórko
We construct and embedding of a Nöbeling space of codimension into a Menger space of codimension . This solves an open problem stated by R.~Engelking…
A construction of Nöbeling manifolds of arbitrary weight
G. C. Bell, A. Nagórko
For each cardinal , each natural number and each simplicial complex we construct a space and a map such that the following conditions…
Detecting topological properties of Markov compacta with combinatorial properties of their diagrams
G. C. Bell, A. Nagórko
We develop a formalism that allows us to describe Markov compacta with finite sets of diagrams that are building blocks of the entire sequence. This encodes complex, continuous spa…
On stability of asymptotic property C for products and some group extensions
G. Bell, A. Nagórko
We show that Dranishnikov's asymptotic property C is preserved by direct products and the free product of discrete metric spaces. In particular, if and are groups with asym…
Coarse property {C} and decomposition complexity
Gregory Bell, Danielle Moran, Andrzej Nagórko
The coarse category was established by Roe to distill the salient features of the large-scale approach to metric spaces and groups that was started by Gromov. In this paper, we use…
Characterization and topological rigidity of Nobeling manifolds
Andrzej Nagórko
We develop a theory of Nobeling manifolds similar to the theory of Hilbert space manifolds. We show that it reflects the theory of Menger manifolds developed by M. Bestvina and is…
Carrier and Nerve Theorems in the Extension Theory
Andrzej Nagórko
We show that a regular cover of a general topological space provides structure similar to a triangulation. In this general setting we define analogues of simplicial maps and prove…