Self maps of $\mathbb {H}\textrm {P}^n$ via the unstable Adams spectral sequence
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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.References
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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