1. ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES

Mojtaba Mohareri; Behrooz Mashayekhi; Hanieh Mirebrahimi

Volume 6, Issue 2 , Winter and Spring 2019, , Pages 131-146

Abstract
  K. Borsuk in 1979, at the Topological Conference in Moscow, introduced concept of the capacity of a compactum and asked some questions concerning properties of the capacity ofcompacta. In this paper, we give partial positive answers to three of these questions in some cases. In fact, by describing spaces ...  Read More

2. SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES

Hanieh Mirebrahimi; Fatemeh Ghanei

Volume 1, Issue 1 , Summer and Autumn 2013, , Pages 45-52

Abstract
  In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove ...  Read More