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

Authors

  • Riccardo Gusso Università di Venezia

DOI:

https://doi.org/10.4995/agt.2002.2059

Keywords:

Group, Large set, Small set, P-small set, Homomorphism, Direct product

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.

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Author Biography

Riccardo Gusso, Università di Venezia

Dipartimento di Matematica Applicata

References

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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).

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E. Folner, On groups with full Banach mean value, Math. Scand. 3 (1955), 243-254.

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Published

2002-10-01

How to Cite

[1]
R. Gusso, “Large and small sets with respect to homomorphisms and products of groups”, Appl. Gen. Topol., vol. 3, no. 2, pp. 133–143, Oct. 2002.

Issue

Section

Regular Articles