Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

Request Permissions   Purchase Content 
 

 

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


Author: Gustavo Granja
Journal: Proc. Amer. Math. Soc. 143 (2015), 4547-4559
MSC (2010): Primary 55S35, 55S36, 55S37
DOI: https://doi.org/10.1090/proc/12577
Published electronically: March 31, 2015
MathSciNet review: 3373952
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 55S35, 55S36, 55S37

Retrieve articles in all journals with MSC (2010): 55S35, 55S36, 55S37


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

DOI: https://doi.org/10.1090/proc/12577
Keywords: Self maps, quaternionic projective space, unstable Adams spectral sequence
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
Article copyright: © Copyright 2015 American Mathematical Society