Skip to main content
    • Aa
    • Aa

Calculation of Lin's Ext groups

  • W. H. Lin (a1), D. M. Davis (a2), M. E. Mahowald (a3) and J. F. Adams (a4)

The first-named author has proved interesting results about the stable homotopy and cohomotopy of spaces related to real projective space RP; these are presented in an accompanying paper (6). His proof is by the Adams spectral sequence, and so depends on the calculation of certain Ext groups. The object of this paper is to prove the required result about Ext groups. The proof to be given is not Lin's original proof, which involved substantial calculation; it follows an idea of the second and third authors. The version to be given incorporates modifications suggested later by the fourth author.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

(4) T. Y. Lin and H. R. Margolis Homological aspects of modules over the Steenrod algebra. J. Pure and Applied Algebra 9 (1977), 121129.

(7) J. Milnor The Steenrod algebra and its dual. Ann. of Math. (2) 67 (1958), 150171.

(8) J. Milnor and J. C. Moore On the structure of Hopf algebras. Ann. of Math. (2) 81 (1965), 211264.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 12 *
Loading metrics...

Abstract views

Total abstract views: 56 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.