Abstract
The subject of Q p spaces has been developed only over the last three to four years, with the result that many of the basic papers dealing with it are just coming out. Our goal is to publicize some of the basic results in the subject, together with a variety of related ideas. It is not the purpose of this paper to announce previously unknown results, and everything mentioned here either has been published elsewhere, or will be shortly. No proofs are given. The list of references given at the end of the paper has deliberately been kept short, but substantial lists of further references can be found in any of the recent papers listed in the references given here. Thus, the casual reader may get some idea of what the basic ideas are and where they head, while the more serious reader can pursue the subject as completely as desired.
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