Add to ORKGThis dissertation addresses the question of realization of countable groups as funda- mental groups of continuum. In first chapter we discuss classical realizations in the category of CW complexes. We introduce Eilenberg-Maclane spaces and their topological properties. The second chapter provides recent developments on realization question such as those of Shelah, Keesling, ... The third chapter proves the realization theorem for countable groups. The re- sulting space is compact path connected, connected subspace of four dimensional Euclidean space
We study topological realizations of countable Borel equivalence relations, including realizations b...
Based on some set-theoretical observations, compactness results are given for general hit-and-miss h...
This thesis deals with the field of algebraic topology. Basic topological facts are addressed includ...
This dissertation addresses the question of realization of countable groups as funda- mental groups ...
We give an alternate proof, using coarse geometry, that if the fundamental group of a compact, conne...
This paper is an introduction to knotted spheres in four dimensions (analogous to knotted circles in...
Subshifts are sets of colourings - or tilings - of the plane, defined by local constraints. Historic...
The big breakthrough in the classification of topological 4-manifolds certainly was Freedman’s proof...
This thesis studies continuous representations of topological groups over a field F. We form three c...
The main purpose of this work is to present a coarse counterpart to the Freudenthal compactification...
This dissertation addresses three aspects of cohomological dimension of metric spaces with respect t...
In this thesis we study several principles involving subspaces and decompositions of vector spaces, ...
§0. Introduction. Low-dimensional topology is dominated by the funda-mental group. However, since ev...
In Chapter 1, we have given a brief account of measure theory on locally compact groups. We have def...
In his paper [1], Konstantinos Beros proved a number of results about compactly generated subgroups ...
We study topological realizations of countable Borel equivalence relations, including realizations b...
Based on some set-theoretical observations, compactness results are given for general hit-and-miss h...
This thesis deals with the field of algebraic topology. Basic topological facts are addressed includ...
This dissertation addresses the question of realization of countable groups as funda- mental groups ...
We give an alternate proof, using coarse geometry, that if the fundamental group of a compact, conne...
This paper is an introduction to knotted spheres in four dimensions (analogous to knotted circles in...
Subshifts are sets of colourings - or tilings - of the plane, defined by local constraints. Historic...
The big breakthrough in the classification of topological 4-manifolds certainly was Freedman’s proof...
This thesis studies continuous representations of topological groups over a field F. We form three c...
The main purpose of this work is to present a coarse counterpart to the Freudenthal compactification...
This dissertation addresses three aspects of cohomological dimension of metric spaces with respect t...
In this thesis we study several principles involving subspaces and decompositions of vector spaces, ...
§0. Introduction. Low-dimensional topology is dominated by the funda-mental group. However, since ev...
In Chapter 1, we have given a brief account of measure theory on locally compact groups. We have def...
In his paper [1], Konstantinos Beros proved a number of results about compactly generated subgroups ...
We study topological realizations of countable Borel equivalence relations, including realizations b...
Based on some set-theoretical observations, compactness results are given for general hit-and-miss h...
This thesis deals with the field of algebraic topology. Basic topological facts are addressed includ...