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 776 5 |
| Ultima descărcare din IBN: 2022-11-02 13:21 |
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| 511.5+515.122 (1) |
| Number theory (37) |
| Topology (43) |
 SM ISO690:2012GEVORGYAN, P., POP, I. Shape dimension of maps. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, vol. 86, nr. 1(86), pp. 3-11. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Volumul 86, Numărul 1(86) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 511.5+515.122 | ||||||
| MSC 2010: 55P55, 54C56. | ||||||
| Pag. 3-11 | ||||||
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| Rezumat | ||||||
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. |
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| Cuvinte-cheie Dimension of a morphism of inverse systems, of a promorphism, shape dimension of a shape morphism, of a map. |
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