Geodesic
Rigidity of the $K(1)$-local stable homotopy category
Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 261-278.

Voir la notice de l'article provenant de la source International Press of Boston

We investigate a new case of rigidity in stable homotopy theory which is the rigidity of the $K(1)$-local stable homotopy category $\mathrm{Ho} (L_{K(1)} \mathrm{Sp})$ at $p = 2$. In other words, we show that recovering higher homotopy information by just looking at the triangulated structure of $\mathrm{Ho} (L_{K(1)} \mathrm{Sp})$ is possible, which is a property that only a few interesting stable model categories are known to possess.
DOI : 10.4310/HHA.2019.v21.n2.a14
Classification : 55P42
Keywords: stable homotopy theory, chromatic homotopy theory 
@article{HHA_2019_21_2_a13,
     author = {Jocelyne Ishak},
     title = {Rigidity of the $K(1)$-local stable homotopy category},
     journal = {Homology, homotopy, and applications},
     pages = {261--278},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2019},
     doi = {10.4310/HHA.2019.v21.n2.a14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a14/}
}
TY  - JOUR
AU  - Jocelyne Ishak
TI  - Rigidity of the $K(1)$-local stable homotopy category
JO  - Homology, homotopy, and applications
PY  - 2019
SP  - 261
EP  - 278
VL  - 21
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a14/
DO  - 10.4310/HHA.2019.v21.n2.a14
LA  - en
ID  - HHA_2019_21_2_a13
ER  - 
%0 Journal Article
%A Jocelyne Ishak
%T Rigidity of the $K(1)$-local stable homotopy category
%J Homology, homotopy, and applications
%D 2019
%P 261-278
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a14/
%R 10.4310/HHA.2019.v21.n2.a14
%G en
%F HHA_2019_21_2_a13
Jocelyne Ishak. Rigidity of the $K(1)$-local stable homotopy category. Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 261-278. doi : 10.4310/HHA.2019.v21.n2.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a14/

Cité par Sources :