(n)-pairing with axes in rational homotopy
Yamaguchi, Toshihiro
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 53-67 / Harvested from Project Euclid
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/