Let $f:X\to Z$ and $g:Y\to Z$ be maps between connected
pointed CW-complexes.
Recall the definition of
pairing with axes $f$ and $g$ due to N.Oda.
In this paper, we introduce {\it (n)-pairing},
which is a generalization of {\it H(n)}-space due to
Y.Félix and D.Tanré and
define a family of subsets of the homotopy set of maps.
We give some rational
characterizations of it and illustrate some examples in Sullivan models.
Also we consider about
the $G(n)$-sequence of a fibration
which is a generalization of $G$-sequence.
Publié le : 2010-02-15
Classification:
Ganea space,
(n)-pairing with axes,
Sullivan minimal model,
(n)-Gottlieb group,
55P62,
55Q05,
55Q70
@article{1267798498,
author = {Yamaguchi, Toshihiro},
title = {(n)-pairing with axes in rational homotopy},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {17},
number = {1},
year = {2010},
pages = { 53-67},
language = {en},
url = {http://dml.mathdoc.fr/item/1267798498}
}
Yamaguchi, Toshihiro. (n)-pairing with axes in rational homotopy. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp. 53-67. http://gdmltest.u-ga.fr/item/1267798498/