{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/8403"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/8403","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Localization genus of classifying spaces","abstract":"We show that for a large class of torsionfree classifying spaces, K-theory filtered ring is an invariant of the genus. We apply this result in two ways. First, we use it to show that the powerseries ring on n indeterminates over the integers admits uncountably many mutually non-isomorphic [lambda]-ring structures. Second, we use it to study the genus of infinite quaternionic projective space. 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