We investigate the global texture model of structure formation in cosmogonies
with non-zero cosmological constant for different values of the Hubble
parameter. We find that the absence of significant acoustic peaks and little
power on large scales are robust predictions of these models. However, from a
careful comparison with experiments we conclude that at present we cannot
safely reject the model on the grounds of published CMB anisotropy data.
If bias is close to one on large scales, galaxy correlation data rules out
the models. New, very stringent constraints come from peculiar velocities.
Investigating the large-N limit, we argue that our main conclusions apply to
all global O(N) models of structure formation.Comment: 20 page LaTeX file, 11 postscript figs. included, proceedings to the
EC conference on 3K Cosmology in Rome, Oct. 9