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Compact symmetric spaces are probably one of the most prominent class offormal spaces, i.e. of spaces where the rational homotopy type is a formalconsequence of the rational cohomology algebra. As a generalisation, it is evenknown that their isotropy action is equivariantly formal.  In this article we show that $(\mathbb{Z}_2\oplus \mathbb{Z}_2)$-symmetricspaces are equivariantly formal and formal in the sense of Sullivan, inparticular. Moreover, we give a short alternative proof of equivariantformality in the case of symmetric spaces with our new approach.

Equivariant formality of the isotropy action on $\mathbb{Z}_2\oplus \mathbb{Z}_2$-symmetric spaces