Excerpt from Transactions of the American Mathematical Society, Vol. 24 Two problems considered in this paper are: When n k 2 i k can the space S], be mapped upon the space Su_k-2 so that the set P2 is mapped upon the set qt? When n k 2 k can the set be projected upon the set P5? For k 2 the first problem is solved in 1, the second in ???2. For k 3 the first problem is solved in ???3. For the general set P3 there appears to be no solution to the second problem and this probably would be true of further sets also. About ...
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Excerpt from Transactions of the American Mathematical Society, Vol. 24 Two problems considered in this paper are: When n k 2 i k can the space S], be mapped upon the space Su_k-2 so that the set P2 is mapped upon the set qt? When n k 2 k can the set be projected upon the set P5? For k 2 the first problem is solved in 1, the second in ???2. For k 3 the first problem is solved in ???3. For the general set P3 there appears to be no solution to the second problem and this probably would be true of further sets also. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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