Large and small sets with respect to homomorphisms and products of groups

Author:

Gusso Riccardo

Abstract

We study the behaviour of large, small and medium subsets with respect to homomorphisms and products of groups. Then we introduce the definition af a P-small set in abelian groups and we investigate the relations between this kind of smallness and the previous one, giving some examples that distinguish them.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference4 articles.

1. On the Existence of Characters in Topological Groups

2. Dikran N. Dikranjan, Ivan R. Prodanov, Luchezar N. Stoyanov, Topological Groups: Characters, Dualities and Minimal Group Topologies, Pure and Applied Mathematics, Vol. 130 (Marcel Dekker Inc. New York-Basel, 1989).

3. Bohr compactifications and a result of følner

4. On groups with full Banach mean value

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1. Preservation and reflection of size properties of balleans;Topology and its Applications;2017-04

2. SPARSE, THIN AND OTHER SUBSETS OF GROUPS;International Journal of Algebra and Computation;2009-06

3. Every infinite group can be generated by P-small subset;Applied General Topology;2006-10-01

4. Groups with a small set of generators;Applied General Topology;2003-10-01

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