What does the term eponymous mean in the fashion industry?

The term eponymous in the fashion industry specifically refers to a brand name that is identical to the name of the designer. This means that the label or fashion line bears the designer's name, directly associating their identity with the brand itself. For instance, when a designer launches a clothing line under their own name, it is referred to as an eponymous brand. This practice highlights the personal branding aspect often seen in the fashion industry, where the designer's reputation and style are closely tied to the products they create.

The other options describe different concepts within the fashion sphere but do not accurately capture the essence of what eponymous signifies. A collection named after a city refers to geographical inspiration rather than personal branding, while a clothing line inspired by historical styles and a globally recognized fashion trend relate to style or influence rather than the designer's name.