In this paper, we study the density-type properties of topological groups. In particular, provedthat for a topological group G, which the identity element 1 is closed in G, and there is a countable basisof neighborhoods for 1 in G the following relations hold: 1) d(G) = wd(G); 2) ld(G) = lwd(G). Besides,shown that for a topological group G, which G is a second countable locally compact (Hausdorff) space,the following relations hold: 1) d(G) = wd(G); 2) ld(G) = lwd(G). Finally, shown that for a topologicalgroup G, which G is Lie groups and locally Euclidean, the following relations hold: 1) d(G) = wd(G); 2)ld(G) = lwd(G).
| Mualliflar | Mukhamadiev, Farkhod, Fayzullaeva, Dilnavoz |
|---|---|
| Jurnal | Ўзбекистон Миллий университети хабарлари |
| Nashriyot | Ўзбекистон Миллий университети |
| ISSN | 2181-7324, 3093-8996 |
| Nashr sanasi | 2026-10-07 |
| Jild | 2 |
| Son | 2.3 |
| Betlar | 140-145 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-10-08 |
density, weak density, topological group, Lie groups.
| APA | Mukhamadiev, Farkhod, & Fayzullaeva, Dilnavoz (2026). Density-type properties of topological groups. Ўзбекистон Миллий университети хабарлари, 2(2.3), 140-145. https://journals.nuu.uz/index.php/actanuuz/article/view/15260 |
|---|---|
| GOST (OAK) | Mukhamadiev, Farkhod, Fayzullaeva, Dilnavoz Density-type properties of topological groups // Ўзбекистон Миллий университети хабарлари. – 2026. – T. 2, № 2.3. – P. 140-145. |
| MLA | Mukhamadiev, Farkhod, and Fayzullaeva, Dilnavoz. “Density-type properties of topological groups.” Ўзбекистон Миллий университети хабарлари, 2(2.3), 140-145, 2026. https://journals.nuu.uz/index.php/actanuuz/article/view/15260 |
| Chicago | Mukhamadiev, Farkhod, and Fayzullaeva, Dilnavoz. “Density-type properties of topological groups.” Ўзбекистон Миллий университети хабарлари, 2(2.3), 140-145 (2026). https://journals.nuu.uz/index.php/actanuuz/article/view/15260 |
| Harvard | Mukhamadiev, Farkhod, and Fayzullaeva, Dilnavoz (2026) ‘Density-type properties of topological groups’, Ўзбекистон Миллий университети хабарлари, 2(2.3), 140-145. https://journals.nuu.uz/index.php/actanuuz/article/view/15260 |
| BibTeX | @article{mukhamadievfarkhod2026,
title = {Density-type properties of topological groups},
author = {Mukhamadiev, Farkhod and Fayzullaeva, Dilnavoz},
journal = {Ўзбекистон Миллий университети хабарлари},
year = {2026},
volume = {2},
number = {2.3},
pages = {140-145},
url = {https://journals.nuu.uz/index.php/actanuuz/article/view/15260}
} |
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