Some generalized metric properties of the space of G-permutation degree

Sadullaev, Anvar

Ўзбекистон Миллий университети хабарлари · 2026-yil

Annotatsiya

In this paper we investigate some generalized metric properties of the space of G-permutationdegree SP nG X. We prove that an infinite T 1 -space X has a σ-locally finite network if and only if the spaceSP nG X has a σ-locally finite network. We also establish that X has a σ-locally finite base if and only if SPnG Xhas a σ-locally finite base. As an application, we obtain characterizations of metrizability and σ-spaces forthe space SP nG X. Finally, we prove that an infinite regular space X is a P 0 -space if and only if SPnG X is aP 0 -space.

Maqola ma’lumotlari
MualliflarSadullaev, Anvar
JurnalЎзбекистон Миллий университети хабарлари
NashriyotЎзбекистон Миллий университети
ISSN2181-7324, 3093-8996
Nashr sanasi2026-10-07
Jild2
Son2.3
Betlar190-194
TilIngliz
Indeksga qo‘shilgan2026-10-08

Maqolaning asl sahifasi

Kalit so‘zlar

locally finite family, σ-locally finite network, σ-locally finite base, σ-space, P 0 -space.

Iqtibos keltirish

APASadullaev, Anvar (2026). Some generalized metric properties of the space of G-permutation degree. Ўзбекистон Миллий университети хабарлари, 2(2.3), 190-194. https://journals.nuu.uz/index.php/actanuuz/article/view/15281
GOST (OAK)Sadullaev, Anvar Some generalized metric properties of the space of G-permutation degree // Ўзбекистон Миллий университети хабарлари. – 2026. – T. 2, № 2.3. – P. 190-194.
MLASadullaev, Anvar. “Some generalized metric properties of the space of G-permutation degree.” Ўзбекистон Миллий университети хабарлари, 2(2.3), 190-194, 2026. https://journals.nuu.uz/index.php/actanuuz/article/view/15281
ChicagoSadullaev, Anvar. “Some generalized metric properties of the space of G-permutation degree.” Ўзбекистон Миллий университети хабарлари, 2(2.3), 190-194 (2026). https://journals.nuu.uz/index.php/actanuuz/article/view/15281
HarvardSadullaev, Anvar (2026) ‘Some generalized metric properties of the space of G-permutation degree’, Ўзбекистон Миллий университети хабарлари, 2(2.3), 190-194. https://journals.nuu.uz/index.php/actanuuz/article/view/15281
BibTeX
@article{sadullaevanvar2026,
  title = {Some generalized metric properties of the space of G-permutation degree},
  author = {Sadullaev, Anvar},
  journal = {Ўзбекистон Миллий университети хабарлари},
  year = {2026},
  volume = {2},
  number = {2.3},
  pages = {190-194},
  url = {https://journals.nuu.uz/index.php/actanuuz/article/view/15281}
}

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