Talk:Product metric

Unclear opening phrase

The opening phrase seems to me unclear, as if some words are missing or redundant. In particular:

• In the first sentence, why do you need the emphasize phrase: "the Cartesian product of two metric spaces in the category of metric spaces"? The sentence can be easily understood without it.
• In the second sentence there are two verbs: "another family of choices of metric on the product space is the p product metric, described below, of the Cartesian product of n metric spaces is the p norm of the n-vector of the norms of the n subspaces". It seems like two sentences glued together hastingly.
• "Note that this differs, in general;" - differs from what? A verb complement is missing.

--Erel Segal (talk) 07:12, 9 January 2015 (UTC)