$k$-rational homotopy fixed points, $k\in \Bbb N$

Abstract

For $k\in \Bbb N$, we introduce the notion of $k$-rational homotopy fixed points and we prove, under a certain assumption, that if $X$ is a rational elliptic space of formal dimension $n$, then $X$ admits an $(n -1)$-rational homotopy fixed point.