Certain discreteness conditions imposed on topological groups

V. M. Poletskikh

Kiev State University

Abstract: The paper studies locally compact groups in which any closed subset generates, in the algebraic sense, a subgroup which is closed. It is proven that all such groups are discrete.

UDC: 519.4

Received: 24.12.1971

 English version: Mathematical Notes, 1973, 13:3, 263–265

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