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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Self maps of $\mathbb {H}\textrm {P}^n$ via the unstable Adams spectral sequence
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by Gustavo Granja PDF
Proc. Amer. Math. Soc. 143 (2015), 4547-4559 Request permission

Abstract:

We use obstruction theory based on the unstable Adams spectral sequence to construct self maps of finite quaternionic projective spaces. As a result, a conjecture of Feder and Gitler regarding the classification of self maps up to homology is proved in two new cases.
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Additional Information
  • Gustavo Granja
  • Affiliation: Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • Email: ggranja@math.tecnico.ulisboa.pt
  • Received by editor(s): May 23, 2014
  • Received by editor(s) in revised form: June 19, 2014
  • Published electronically: March 31, 2015
  • Communicated by: Michael A. Mandell
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 4547-4559
  • MSC (2010): Primary 55S35, 55S36, 55S37
  • DOI: https://doi.org/10.1090/proc/12577
  • MathSciNet review: 3373952