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 <i>CD</i><sub><i>0</i></sub><i>(Q) = C(Q) + c</i><sub><i>0</i></sub><i>(Q) </i>whose elements are the sums of continuous and discrete functions defined on a compact Hausdorff space <i>Q </i>without isolated points. (In this part, special emphasis is on describing the compact space <i>Q </i>representing the Banach lattice <i>CD</i><sub><i>0</i></sub><i>(Q) </i>as <i>C (Q).</i>)<i> </i>The rest of the article is dedicated to the analogous frame related to the space <i>CD</i><sub><i>0</i></sub><i>(Q,X) </i>of continuous-discrete sections of a Banach bundle <i>X </i>and the space of <i>CD</i><sub><i>0</i></sub><i></i>-homomorphisms of Banach bundles.