ar X iv : m at h / 93 12 20 9 v 1 [ m at h . FA ] 2 9 D ec 1 99 3 ON FUNCTIONS OF FINITE BAIRE INDEX

ar X iv : m at h . FA / 9 31 22 09 v 1 29 D ec 1 99 3 ON FUNCTIONS OF FINITE BAIRE INDEX

It is proved that every function of finite Baire index on a separable metric space K is a D-function, i.e., a difference of bounded semi-continuous functions on K. In fact it is a strong D-function, meaning it can be approximated arbitrarily closely in D-norm, by simple D-functions. It is shown that if the n derived set of K is non-empty for all finite n, there exist D-functions on K which are ...

ar X iv : h ep - p h / 93 12 25 0 v 1 9 D ec 1 99 3 Heavy quark supermultiplet excitations

Lorentz-covariant wave functions for meson and baryon supermultiplets are simply derived by boosting SU(2)spin representations corresponding to multiquark systems at rest. 11.30-j,11.30.Cp,11.30.Ly,12.50.Ch Typeset using REVTEX 1

ar X iv : m at h / 99 05 12 2 v 1 [ m at h . L O ] 1 9 M ay 1 99 9 THE CICHOŃ DIAGRAM

We conclude the discussion of additivity, Baire number, uniformity and covering for measure and category by constructing the remaining 5 models. Thus we complete the analysis of Cicho´n's diagram.

ar X iv : h ep - p h / 93 12 23 9 v 1 7 D ec 1 99 3 CERN - TH . 7109 / 93 HIGHER - ORDER CORRECTIONS TO THE LARGE

Next-to-leading 1/N c corrections to the upper bound on M η /M η ′ recently obtained by Georgi are considered. These corrections are just what is needed to reconcile the bound with the observed η and η ′ masses.

ar X iv : m at h / 99 12 12 3 v 1 [ m at h . D G ] 1 5 D ec 1 99 9 CURVATURE , DIAMETER AND BOUNDED BETTI NUMBERS