数学季刊 ›› 1995, Vol. 10 ›› Issue (4): 32-40.

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Self Maps and Margolis Killing Constructionin the Category of Spectra

  

  1. Department   of  Mathematics, Nankai     University,Tianjin,300071

  • 收稿日期:1994-08-29 出版日期:1995-12-30 发布日期:2025-03-04

Self Maps and Margolis Killing Constructionin the Category of Spectra

  1. Department   of  Mathematics, Nankai     University,Tianjin,300071
  • Received:1994-08-29 Online:1995-12-30 Published:2025-03-04

摘要: For a finite spectrum X,we prove the existence of a nonnilpotent element v in Ext(H*(X),H'(X))paralleled to the vanishing line which is a permanent cycle in the Adams spectral sequence.We use this result to give a proof of Margolis'construction of killing Pi-ho- mology groups,for all primes,in the category of bounded below spectra.

Abstract: For a finite spectrum X,we prove the existence of a nonnilpotent element v in Ext(H*(X),H'(X))paralleled to the vanishing line which is a permanent cycle in the Adams spectral sequence.We use this result to give a proof of Margolis'construction of killing Pi-ho- mology groups,for all primes,in the category of bounded below spectra.

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