Question

Are there free objects via the forgetful functor from the category of topological groups to the category of topological spaces? 

   Are there free objects via the forgetful functor from the category of topological groups to the category of topological spaces?
Mathematical physics
Mathematical physics
Robert Geroch 1st Edition
Chapter 40, Problem 283 ↓

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The category of topological groups, denoted as TopGrp, consists of objects that are groups equipped with a topology such that the group operations (multiplication and inversion) are continuous. The morphisms in this category are continuous group homomorphisms. The  Show more…

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Are there free objects via the forgetful functor from the category of topological groups to the category of topological spaces?
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