KUCHSIZ SEPARABEL FAZOLARNING TOPOLOGIK XOSSALARI
Ключевые слова:
Separabel fazolar, topologik xossa, kuchsiz zichlik, ochiq to’plam, Xausdorf kompakt fazosi.Аннотация
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.
Библиографические ссылки
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.
