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Topological automorphism groups of chains.

Sergei V. Ovchinnikov (2001)

Mathware and Soft Computing

It is shown that any set-open topology on the automorphism group A(X) of a chain X coincides with the pointwise topology and that A(X) is a topological group with respect to this topology. Topological properties of connectedness and compactness in A(X) are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.

Topological Rough Groups

Nurettin Bağırmaz, İlhan İçen, Abdullah F. Özcan (2016)

Topological Algebra and its Applications

The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an approximation space.

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