Rational homotopy type of free and pointed mapping spaces between spheres

• Date: 2013
• Author Affiliations: U. Buijs — Institut de Mathématique Pure et Appliquée chemin du cyclotron; A. Murillo — Departamento de Álgebra, Geometrı́a y Topologı́a Universidad de Málaga
• Keywords: keywords
• Main Authors: Buijs, U., Murillo, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/312
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Denote by $map(X, Y )$ (respec. $map ^{\ast}(X, Y )$) the space of free (respec. pointed) maps from $X$ to $Y$ . Whenever $X$ is a finite $CW$-complex and $Y$ is a nilpotent $CW$-complex of finite type over $Q$, then any path component of both map $(X, Y )$ and $map ^{\ast} (X, Y ) $ are nilpotent $...