There is no domain representable dense proper subsemigroup of a topological group

Date

2017-02-01

Author

Önal, Süleyman

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We prove that the only domain representable dense subsemigroup of a topological group is itself. Consequently, we obtain that every domain representable subgroup of a topological group is closed.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/36865

Journal

TOPOLOGY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.topol.2016.11.014

Collections

Department of Mathematics, Article

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Citation Formats

S. Önal, “There is no domain representable dense proper subsemigroup of a topological group,” TOPOLOGY AND ITS APPLICATIONS, pp. 79–84, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36865.