Shahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58536Speical Issue on the Occasion of Banaschewski's 90th Birthday (I)20170101Localic maps constructed from open and closed parts213515806ENAlesPultrDepartment of Applied Mathematics and ITI, MFF, Charles University, Malostransk'e n'am. 24, 11800 Praha 1, Czech Republic.JorgePicadoCMUC, Department of Mathematics, University of Coimbra, Apar\-ta\-do 3008, 3001-501 Coimbra, Portugal.Journal Article20160502Assembling a localic map $fcolon Lto M$ from localic maps $f_icolon S_ito M$, $iin J$, defined on closed resp. open sublocales $(J$ finite in the closed case$)$ follows the same rules as in the classical case. The corresponding classical facts immediately follow from the behavior of preimages but for obvious reasons such a proof cannot be imitated in the point-free context. Instead, we present simple proofs based on categorical reasoning. There are some related aspects of localic preimages that are of interest, though. They are investigated in the second half of the paper.http://cgasa.sbu.ac.ir/article_15806_f90dc6ec251a402f3ff01305864296bd.pdf