SPACES OF <i>CD</i>o-FUNCTIONS AND <i>CD</i>o-SECTIONS OF BANACH BUNDLES
We first briefly expose some crucial phases in studying the space CD0(Q) = C(Q) + c0(Q) whose elements are the sums of continuous and discrete functions defined on a compact Hausdorff space Q without isolated points. (In this part, special emphasis is on describing the compact space Q representing the Banach lattice CD0(Q) as C (Q).) The rest of the article is dedicated to the analogous frame related to the space CD0(Q,X) of continuous-discrete sections of a Banach bundle X and the space of CD0-homomorphisms of Banach bundles.