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| Articolul precedent |
| Articolul urmator |
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 722 8 |
| Ultima descărcare din IBN: 2022-01-09 19:10 |
| Căutarea după subiecte similare conform CZU |
| 515.12+515.14+515.16 (1) |
| Topologie (42) |
 SM ISO690:2012ARNAUTOV, Vladimir, ERMACOVA, Galina. On the number of topologies on countable fields. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 79-90. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 515.12+515.14+515.16 | ||||||
| MSC 2010: 22A05. | ||||||
| Pag. 79-90 | ||||||
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| Rezumat | ||||||
For any countable field R and any non-discrete metrizable field topology 0 of the field, the lattice of all field topologies of the field admits: – Continuum of non-discrete metrizable field topologies of the field stronger than the topology 0 and such that sup{ 1, 2} is the discrete topology for any different topologies; – Continuum of non-discrete metrizable field topologies of the field stronger than 0 and such that any two of these topologies are comparable; – Two to the power of continuum of field topologies of the field stronger than 0, each of them is a coatom in the lattice of all topologies of the field. |
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| Cuvinte-cheie Countable field, topological fields, Hausdorff topology, basis of the filter of neighborhoods, number of topologies on countable field, lattice of topologies on field |
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<creatorName>Ermacova, G.N.</creatorName>
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<subject>Countable field</subject>
<subject>topological fields</subject>
<subject>Hausdorff topology</subject>
<subject>basis of the filter of neighborhoods</subject>
<subject>number of topologies on countable field</subject>
<subject>lattice of
topologies on field</subject>
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