We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in [5], [8] and [12]. In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly.
Publié le : 2006-10-14
Classification:
rational homotopy equivalence,
group action,
fundamental group,
55P15,
55P62,
55P10
@article{1179759542,
author = {YAMAGUCHI, Kohhei},
title = {The homotopy of spaces of maps between real projective spaces},
journal = {J. Math. Soc. Japan},
volume = {58},
number = {3},
year = {2006},
pages = { 1163-1184},
language = {en},
url = {http://dml.mathdoc.fr/item/1179759542}
}
YAMAGUCHI, Kohhei. The homotopy of spaces of maps between real projective spaces. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp. 1163-1184. http://gdmltest.u-ga.fr/item/1179759542/