Show that if is a basis for and is a basis for , then is a basis for Any help would be appreciated.
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This question is too vague to answer. The basis for what? Are we in a vector space, a metric space, or a general topological space? You must be very specific in asking a question. We are not mind-reader.
Sorry, we are in a general topological space.
Well O.K. What defines a basis? Does constitute a basis?
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