  We study the evolution of a spherically symmetric density perturbation in the
Modified Newtonian Dynamics (MOND) model applied to the net acceleration over
Hubble flow. The background cosmological model is a $\Lambda$-dominated,
low-$\Omega_b$ Friedmann model with no Cold Dark Matter. We include thermal
processes and non-equilibrium chemical evolution of the collapsing gas. We find
that under these assumptions the first low-mass objects ($M \le 3\times 10^4
M_{\odot}$) may collapse already for $z\sim 30$, which is in quite good
agreement with the recent WMAP results. A lower value of $a_0$ would lead to
much slower collapse of such objects.
