Geodesic
Remarks on the equivalence between differential graded categories and A-infinity categories
Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 275-285.

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

We show that the homotopy theories of differential graded categories and $A_\infty$-categories over a field are equivalent at the $(\infty, 1)$-categorical level. The results are corollaries of a theorem of Canonaco–Ornaghi–Stellari combined with general relationships between different versions of $(\infty, 1)$-categories.
DOI : 10.4310/HHA.2024.v26.n1.a17
Classification : 18G35
Keywords: differential graded category, A-infinity category 
@article{HHA_2024_26_1_a16,
     author = {James Pascaleff},
     title = {Remarks on the equivalence between differential graded categories and {A-infinity} categories},
     journal = {Homology, homotopy, and applications},
     pages = {275--285},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2024},
     doi = {10.4310/HHA.2024.v26.n1.a17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a17/}
}
TY  - JOUR
AU  - James Pascaleff
TI  - Remarks on the equivalence between differential graded categories and A-infinity categories
JO  - Homology, homotopy, and applications
PY  - 2024
SP  - 275
EP  - 285
VL  - 26
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a17/
DO  - 10.4310/HHA.2024.v26.n1.a17
LA  - en
ID  - HHA_2024_26_1_a16
ER  - 
%0 Journal Article
%A James Pascaleff
%T Remarks on the equivalence between differential graded categories and A-infinity categories
%J Homology, homotopy, and applications
%D 2024
%P 275-285
%V 26
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a17/
%R 10.4310/HHA.2024.v26.n1.a17
%G en
%F HHA_2024_26_1_a16
James Pascaleff. Remarks on the equivalence between differential graded categories and A-infinity categories. Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 275-285. doi : 10.4310/HHA.2024.v26.n1.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a17/

Cité par Sources :