Title of Paper:

 Basic constructions in rational homotopy theory of function spaces

 Author(s)

Aniceto Murillo and Urtzi Buijs

 AMS Classification numbers

55P62

 Addresses of Authors

Departamento de Algebra, Geometria y Topologia
Universidad de Malaga,
AP. 59, 29080 Malaga
SPAIN

 Email address of Authors

aniceto@agt.cie.uma.es
urtzi@agt.cie.uma.es

 Text of Abstract (try for 20 lines or less)

Via the Bousfield-Gugenheim realization functor, and starting from the Brown-Szczarba approach to the Haefliger model of a function
space, we give a functorial framework to describe basic objects and maps concerning the rational homotopy type of function
spaces and its path components.