History of Science and Engineering Annotation << Back HISTORY OF UNIFORM CONTINUITY AND AN IDEA OF COVERED INTERVALS G.I. Sinkevich We propose to consider the emergence of a method of overlapping intervals as an auxiliary tool of internal structure of domains and properties of continuous functions, and the development of the concept of uniform continuity. Keywords: cover lemma; uniform continuity; Dirichlet; Lipschitz; Heine; Borel. Contacts: E-mail: Galina.sinkevich@gmail.com Pp. 03-17.