Examples
Common examples occur when speaking of compound mathematical objects. For example, a topological space consists of a set and a topology, and two topological spaces and can be quite different if they have different topologies. Nevertheless, it is common to refer to such a space simply as when there is no danger of confusion—that is, when it is implicitly clear what topology is being considered. Similarly, one often refers to a group as simply when the group operation is clear from context.
Read more about this topic: Abuse Of Notation
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