THE GENERALIZED THEOREM ON THE ELEMENTARY EXTENSION OF HOMOTOPIES
In this paper, the Borsuk’s familiar theorem on the extension of homotopies is generalized by the application of the theorems of elementary extension of multi-valued mappings. The main result here is Theorem 4.2.
absolute retracts, absolute neighborhood retracts, countable dimension, trivial shape, TSA-map, elementary extension, TSA-homotopy, TSA-contractible.