Computing the abelian heap of unpointed stable homotopy classes of maps
Archivum mathematicum, Tome 49 (2013) no. 5, pp. 359-368
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper [4] of the author and his collaborators. In the present paper, we describe a simplification of this computation that uses an abelian heap structure on this set that was observed in another paper [5] of the author. A heap is essentially a group without a choice of its neutral element; in addition, we allow it to be empty.
DOI :
10.5817/AM2013-5-359
Classification :
55Q05, 55S91
Keywords: stable homotopy class; computation; heap
Keywords: stable homotopy class; computation; heap
@article{10_5817_AM2013_5_359,
author = {Vok\v{r}{\'\i}nek, Luk\'a\v{s}},
title = {Computing the abelian heap of unpointed stable homotopy classes of maps},
journal = {Archivum mathematicum},
pages = {359--368},
publisher = {mathdoc},
volume = {49},
number = {5},
year = {2013},
doi = {10.5817/AM2013-5-359},
mrnumber = {3159334},
zbl = {06383797},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2013-5-359/}
}
TY - JOUR AU - Vokřínek, Lukáš TI - Computing the abelian heap of unpointed stable homotopy classes of maps JO - Archivum mathematicum PY - 2013 SP - 359 EP - 368 VL - 49 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2013-5-359/ DO - 10.5817/AM2013-5-359 LA - en ID - 10_5817_AM2013_5_359 ER -
Vokřínek, Lukáš. Computing the abelian heap of unpointed stable homotopy classes of maps. Archivum mathematicum, Tome 49 (2013) no. 5, pp. 359-368. doi: 10.5817/AM2013-5-359
Cité par Sources :