## 80 Citations

### Fundamental groups of locally connected subsets of the plane

- MathematicsAdvances in Mathematics
- 2019

### Which group algebras cannot be made zero by imposing a single non-monomial relation?

- MathematicsCommunications in Algebra
- 2019

Abstract For which groups G is it true that for all fields k, every non-monomial element of the group algebra generates a proper 2-sided ideal? The only groups for which we know this to be true are…

### Inverse limits of finite rank free groups

- Mathematics
- 2011

Abstract. We will show that the inverse limit of finite rank free groups with surjective connecting homomorphism is isomorphic either to a finite rank free group or to a fixed universal group. In…

### On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane

- Mathematics
- 2005

In this paper we prove several results concerning the existence of universal covering spaces for separable metric spaces. To begin, we define several homotopy theoretic conditions which we then prove…

### A fundamental group topology

- MathematicsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- 1984

Abstract The topology of the Čech fundamental group of the one-point compactification of an appropriate space Y induces a topology on the fundamental group of Y. We describe this topology in terms of…

### On the homology of infinite graphs with ends

- Mathematics
- 2010

The topological cycle space C(G) of an infinite graph G has been introduced in 2004 by Diestel and Kuhn. It enabled them to extend the cycle space theorems, which show the interaction of the cycle…

### The failure of the uncountable non-commutative Specker Phenomenon

- Mathematics
- 2000

Higman proved in 1952 that every free group is non-commutatively slender, this is to say that if G is a free group and h is a homomorphism from the countable complete free product (X_omega Z) to G,…

### Regular singular differential equations and free proalgebraic groups

- Mathematics
- 2022

. We determine the diﬀerential Galois group of the family of all regular singular differential equations on the Riemann sphere. It is the free proalgebraic group on a set of cardinal- ity | C | .