Shape dimension of maps
| Autor: | Gevorgyan, Pavel S., Pop, I. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Bul. Acad. \c{S}tiin\c{t}e Repub. Mold. Mat., 86:1, 3-11 (2018) |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper we define a numerical shape invariant of a continuous map called shape dimension of a map, which generalizes the shape dimension of a topological space. Some basic properties and applications of this invariant are given. The question of raising the shape dimension by shape finite-dimensional maps is solved. An example of a shape finite-dimensional surjective map between shape infinite-dimensional spaces is given. Comment: 8 pages |
| Databáze: | arXiv |
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