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In algebraic topology, the doomsday conjecture was a conjecture about Ext groups over the Steenrod algebra made by Joel Cohen, named by Michael Barratt, published by and disproved by . stated a modified version called the new doomsday conjecture. The original doomsday conjecture was that for any prime ''p'' and positive integer ''s'' there are only a finite number of permanent cycles in : found an infinite number of permanent cycles for ''p'' = ''s'' = 2, disproving the conjecture. Minami's new doomsday conjecture is a weaker form stating (in the case ''p'' = 2) that there are no nontrivial permanent cycles in the image of (Sq0)''n'' for ''n'' sufficiently large depending on ''s''. ==References== * * * * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Doomsday conjecture」の詳細全文を読む スポンサード リンク
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