A NOTE NETWORKS OF TOPOLOGICAL SPACES AND HYPERSPACES
RUZINAZAR BESHIMOV *
Department of Mathematics, National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan.
SOBIRJON SHOYIMARDONOV
Department of Higher Mathematics, Tashkent University of Information and Technologies, Tashkent, Uzbekistan.
GAYRAT BESHIMOV
National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider the following: The product of cs-networks, cs∗-networks, k-networks, prelter and strongly Frechet-Urysohn family, the relation between cs(X); cs(SPnGX); cs(expnX).
Keywords: cs-network, cs*-network, k-network, sequence-covering map, compact-covering map, prefilter, Fréchet-Urysohn space