  We analyse the implications of recent Cosmic Microwave Background (CMB) data
for a specific cosmological model, based on the higher-dimensional
Einstein-Yang-Mills System compactified on a $R\times S^3\times S^d$ topology
and conclude that the model parameters are tightly constrained by CMB spectra.
Moreover, the model predicts a relationship between the deceleration parameter
at present, $q_0$, and some characteristic features of CMB spectra, namely the
height of the first peak and the location of the second peak, that is
consistent with the observations and which can be further tested by future CMB
and other experiments.
