Embedding topological semigroups into the hyperspaces over topological groups

Details Embedding topological semigroups into the hyperspaces over topological groups Embedding topological semigroups into the hyperspaces over topological groups

2010-12-12

arxiv.org/abs/1012.2550v1

Acta Universitatis Carolinae. Math. et Phys. 48:2 (2007), 3-18

Mathematics

Group Theory

14 pages

Scientific paper

We study algebraic and topological properties of subsemigroups of the hyperspace exp(G) of non-empty compact subsets of a topological group G endowed with the Vietoris topology and the natural semigroup operation. On this base we prove that a compact Clifford topological semigroup S is topologically isomorphic to a subsemigroup of exp(G) for a suitable topological group G if and only if S is a topological inverse semigroup with zero-dimensional idempotent semilattice.

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