将拓扑半群嵌入拓扑群上的超空间
Embedding topological semigroups into the hyperspaces over topological groups
摘要：
研究了具有Vietoris拓扑和自然半群运算的拓扑群G的非空紧子集超空间exp（G）的子半群的代数和拓扑性质.在此基础上，我们证明了对于一个合适的拓扑群G，一个紧Clifford拓扑半群S拓扑同构于exp（G）的一个子半群当且仅当S是一个具有零维幂等元半格的拓扑逆半群.
英文摘要：
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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