DEPENDENCE ON COUNTABLE MANY OF COORDINATES OF SEPARATELY CONTINUOUS FUNCTIONS OF THREE VARIABLES

The dependence of continuous mappings on a certain number coordinates was intensively studied in the works many mathematicians middle 20th century. It has become convenient tool study properties mappings. most general results this direction were obtained [5], where necessary and sufficient conditions for functions products from obtained. Starting with [8] separately became subject research at Chernivtsi University. For two variables [10]. three or more [7], established only case metrizability all factors, which leaves lot room further research. We obtain countable product spaces each is family compact Kempisty spaces.