Calculation of Lin's Ext groups
- 1 May 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 87 (3) , 459-469
- https://doi.org/10.1017/s0305004100056899
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- On conjectures of Mahowald, Segal and SullivanMathematical Proceedings of the Cambridge Philosophical Society, 1980
- The Adams–Mahowald conjecture on real projective spacesMathematical Proceedings of the Cambridge Philosophical Society, 1979
- Homological aspects of modules over the Steenrod algebraJournal of Pure and Applied Algebra, 1977
- On the Structure of Hopf AlgebrasAnnals of Mathematics, 1965
- Thom ComplexesProceedings of the London Mathematical Society, 1961
- The Steenrod Algebra and Its DualAnnals of Mathematics, 1958