Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Self-maps of projective spaces
HTML articles powered by AMS MathViewer

by C. A. McGibbon PDF
Trans. Amer. Math. Soc. 271 (1982), 325-346 Request permission

Abstract:

The classical projective $n$-spaces (real, complex, and quaternionic) are studied in terms of their self maps, from a homotopy point of view. Self maps of iterated suspensions of these spaces are also considered. The goal in both cases is to classify, up to homology, all such maps. This goal is achieved in the stable case. Some partial results are obtained in the unstable case. The results from both cases are used to compute the genus groups and the stable genus groups of the classical projective spaces. Applications to other spaces are also given.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 55P40, 55S25
  • Retrieve articles in all journals with MSC: 55P40, 55S25
Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 271 (1982), 325-346
  • MSC: Primary 55P40; Secondary 55S25
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0648096-X
  • MathSciNet review: 648096