We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in ,  and . In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly.
Kohhei YAMAGUCHI. "The homotopy of spaces of maps between real projective spaces." J. Math. Soc. Japan 58 (4) 1163 - 1184, October, 2006. https://doi.org/10.2969/jmsj/1179759542