Topological automorphism

This article gives a basic definition in the following area: topological group theory
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Definition

Given a topological group, a topological automorphism is a bijective map from the topological group to itself that is both:

• A homeomorphism from the topological group to itself, with respect to the topological space structure
• An automorphism from the topological group to itself, with respect to the group structure

Relation with other properties

Stronger properties

• Inner automorphism
• Strong monomial automorphism

Weaker properties

• Automorphism