Electronic Version 22 Summer (1997)

M. Tkacenko

If a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S \cup {1} is closed in G, then S is called a suitable set for G. It turns out that all ``good" topological groups have a suitable set, and it takes some work to recognize that there are groups with no suitable set. We present a survey of recent results on the existence of suitable sets in topological groups and discuss several open problems.

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volume 22 Summer: table of contents, information on access
topology proceedings Electronic Version