The Single-valued Character of Some Class of Multi-valued Admissible Mappings
Miroslaw Slosarski *
Technical University of Koszalin, sniadeckich 2, PL-75-453 Koszalin, Poland.
*Author to whom correspondence should be addressed.
Abstract
In the countably dimensional, separable and locally compact spaces, some class of admissible mappings was defined that is also closed due to composition and that has similar properties to the properties of single-valued mappings. A certain property of these maps was applied in the proof of Theorem 3.7, which is the main result of this work.
Keywords: Absolute retracts, absolute neighborhood retracts, countable dimension, trivial shape, TSA-map, homotopy extension, TSA-contractible, elementary extension.