Geodesic
Note on the rational cohomology of the function space of based maps
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 341-350.

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

In this paper, for a formal, path connected, finite-dimensional CW-complex $X$ of finite type and a $q$-connected space $Y$ of finite type with $q \ge \dim{X}$, we determine the necessary and sufficient condition for the rational cohomology algebra $H^*(\mathcal{F}_*(X,Y);\mathbb{Q})$ of the function space $\mathcal{F}_*(X,Y)$ of based maps to be free.
DOI : 10.4310/HHA.2004.v6.n1.a18
Classification : 55P62, 54C40
Keywords: rational cohomology, function spaces, free commutative graded algebras, formal spaces 
@article{HHA_2004_6_1_a17,
     author = {Yasusuke Kotani},
     title = {Note on the rational cohomology of the function space of based maps},
     journal = {Homology, homotopy, and applications},
     pages = {341--350},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2004},
     doi = {10.4310/HHA.2004.v6.n1.a18},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a18/}
}
TY  - JOUR
AU  - Yasusuke Kotani
TI  - Note on the rational cohomology of the function space of based maps
JO  - Homology, homotopy, and applications
PY  - 2004
SP  - 341
EP  - 350
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a18/
DO  - 10.4310/HHA.2004.v6.n1.a18
LA  - en
ID  - HHA_2004_6_1_a17
ER  - 
%0 Journal Article
%A Yasusuke Kotani
%T Note on the rational cohomology of the function space of based maps
%J Homology, homotopy, and applications
%D 2004
%P 341-350
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a18/
%R 10.4310/HHA.2004.v6.n1.a18
%G en
%F HHA_2004_6_1_a17
Yasusuke Kotani. Note on the rational cohomology of the function space of based maps. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 341-350. doi : 10.4310/HHA.2004.v6.n1.a18. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a18/

Cité par Sources :