Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8718A Variant of the Banach-Stone for Banach BundlesPlievM AЛаборатория теории операторов; Южный математический институт ВНЦ РАН и Правительства РСО-А; Southern Mathematical Instituteof Vladikavkaz Scientific Center of RAS and RSO-Aplimarat@yandex.ruTabuevS NЛаборатория теории операторов; Южный математический институт ВНЦ РАН и Правительства РСО-А; Southern Mathematical Instituteof Vladikavkaz Scientific Center of RAS and RSO-Asoslan@tabuev.comSouthern Mathematical Instituteof Vladikavkaz Scientific Center of RAS and RSO-A010320103.1232708092016Copyright © 2010,2010We consider Banach spaces continuous sections when every fiber is Banach lattice. A some versions of the Banach-Stone theorem was obtained.continuous Banach bundlesBanach latticescompacts,homeomorphismsнепрерывные банаховы расслоениябанаховы решёткикомпактыгомеоморфизмы