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parameters if the object under reference is well understood, and avoiding such an abuse of notation might even make mathematical texts more pedantic and more difficult to read. When this abuse of notation may be confusing, one may distinguish between structures by denoting e.g. the group of integers with addition and the ring of integers; by explicitly defining the topology, metric structure, etc. of interest on ; or by explicitly writing out tuples like and to distinguish between different topological spaces with the same underlying set.

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