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| Ultima descărcare din IBN: 2022-11-02 13:21 |
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 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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Gevorgyan, P.S.</dc:creator> <dc:creator>Pop, I.</dc:creator> <dc:date>2018-07-01</dc:date> <dc:description xml:lang='en'><p>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.</p></dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 86 (1) 3-11</dc:source> <dc:subject>Dimension of a morphism of inverse systems</dc:subject> <dc:subject>of a promorphism</dc:subject> <dc:subject>shape dimension of a shape morphism</dc:subject> <dc:subject>of a map.</dc:subject> <dc:title>Shape dimension of maps</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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