Homotopy cofibres, higher coassociativity and homotopy coalgebras

Golasiński, Marek; Murillo, Aniceto

J. Math. Kyoto Univ., Tome 48 (2008) no. 4, p. 631-638 / Harvested from Project Euclid

Résumé

In this note we show that, for a map of (weak or ordinary) $k$-fold homotopy coalgebras and under certain dimension and connectivity restrictions, the homotopy coalgebrastructure is inherited by the homotopy cofibre of the given map.

Publié le : 2008-05-15
Classification: 55P40, 55P45, 18C15

@article{1250271387,
     author = {Golasi\'nski, Marek and Murillo, Aniceto},
     title = {Homotopy cofibres, higher coassociativity and homotopy coalgebras},
     journal = {J. Math. Kyoto Univ.},
     volume = {48},
     number = {4},
     year = {2008},
     pages = { 631-638},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250271387}
}

Golasiński, Marek; Murillo, Aniceto. Homotopy cofibres, higher coassociativity and homotopy coalgebras. J. Math. Kyoto Univ., Tome 48 (2008) no. 4, pp.  631-638. http://gdmltest.u-ga.fr/item/1250271387/