We calculate the evolution of a low-mass ( M \leq 10 ^ { 5 } M _ { \odot } ) spherically symmetric density perturbation in the \Omega _ { b } h ^ { 2 } = 0.02 , \Omega _ { M } = 0.35 , \Omega _ { \Lambda } = 0.65 , h = 0.72 Universe .
The results are compared with the ones that assume no cosmological constant and the flat , dark matter dominated Universe .
We include thermal processes and non-equilibrium chemical evolution of the collapsing gas .
We find that direct formation of bound objects with such masses by z = 8 is unlikely so in fact they may form only through fragmentation of greater objects .
This is in stark contrast to the \Omega = 1 pure CDM cosmology , where low-mass objects form abundantly at redshits z > 10 .