KUCHSIZ SEPARABEL FAZOLARNING TOPOLOGIK XOSSALARI

Authors

  • Jahongir Mamatov Jizzax politexnika instituti Oliy matematika kafedrasi assistenti Author

DOI:

https://doi.org/10.5281/zenodo.7611840

Keywords:

Separabel fazolar, topologik xossa, kuchsiz zichlik, ochiq to’plam, Xausdorf kompakt fazosi.

Abstract

Ushbu ilmiy maqolada topologiyada muhim fazolardan biri bo’lgan kuchsiz separabel fazoga ta’rif berilgan bo’lib, uning turli topologik xossalariga oid teoremalar isbotlab ko‘rsatilgan. Xususan, kuchsiz separabel fazolarning to’g’ri yig’indisi va ko’paytmasi yana kuchsiz separabel fazo bo’lishi haqidagi teoremalar isbotlari bilan keltirilgan.

References

A.V. Arhangel’skii: On one class of spaces containing all metric and all locallycompact spaces, Matem. Sbornik67:1(1965), 55–85.

R.B. Beshimov: On some properties of weakly separable spaces, Uzbek. Math. Journ. 1 (1994), 7–11 (in Russian).

Ф. Г. Мухамадиев: О локальной слабой -плотности топологических пространств. Math-Net.ru. Вестник Томского Государственного университета, 2021

W.W. Comfort: An example on density character, Arch. Math. 14 (1963), 422– 423.

R. Engelking: General Topology, Warszawa, 1977.

N.A. Shanin: On the product of topological spaces. Trudy Steklov Inst. 24, Moscow, 1948.

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Published

2023-02-02

How to Cite

Mamatov , J. . (2023). KUCHSIZ SEPARABEL FAZOLARNING TOPOLOGIK XOSSALARI. Eurasian Journal of Mathematical Theory and Computer Sciences, 3(2), 7-14. https://doi.org/10.5281/zenodo.7611840
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