Geodesic
Homotopy type and $A_\infty$-group structure
Sbornik. Mathematics, Tome 189 (1998) no. 10, pp. 1563-1572

Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of the paper is to define and study algebraic operations closely related to the group structure on the homotopy groups of topological spaces. These are certain many-place operations on the homotopy groups. The family of these operations induces an algebraic structure on the homotopy groups, which is called an $A_\infty$-group structure by analogy with the $A_\infty$-structures introduced by Stasheff. 
@article{SM_1998_189_10_a6,
     author = {V. A. Smirnov},
     title = {Homotopy type and $A_\infty$-group structure},
     journal = {Sbornik. Mathematics},
     pages = {1563--1572},
     publisher = {mathdoc},
     volume = {189},
     number = {10},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_10_a6/}
}
TY  - JOUR
AU  - V. A. Smirnov
TI  - Homotopy type and $A_\infty$-group structure
JO  - Sbornik. Mathematics
PY  - 1998
SP  - 1563
EP  - 1572
VL  - 189
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1998_189_10_a6/
LA  - en
ID  - SM_1998_189_10_a6
ER  - 
%0 Journal Article
%A V. A. Smirnov
%T Homotopy type and $A_\infty$-group structure
%J Sbornik. Mathematics
%D 1998
%P 1563-1572
%V 189
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1998_189_10_a6/
%G en
%F SM_1998_189_10_a6
V. A. Smirnov. Homotopy type and $A_\infty$-group structure. Sbornik. Mathematics, Tome 189 (1998) no. 10, pp. 1563-1572. http://geodesic.mathdoc.fr/item/SM_1998_189_10_a6/