R. B. Beshimov

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Articles: 3

Hereditary properties of hyperspaces

R. B. Beshimov

Methods Funct. Anal. Topology 16 (2010), no. 1, 1-5

In this paper, we investigate hereditary properties of hyperspaces. Our basic cardinals are the Suslin hereditary number, the hereditary $\pi$-weight, the Shanin hereditary number, the hereditary density, the hereditary cellularity. We prove that the hereditary cellularity, the hereditary $\pi$-weight, the Shanin hereditary number, the hereditary density, the hereditary cellularity for any Eberlein compact and any Danto space and their hyperspaces coincide.

On local weakly separable spaces

Methods Funct. Anal. Topology 11 (2005), no. 3, 217-221

Some cardinal properties of topological spaces connected with weakly density

R. B. Beshimov

Methods Funct. Anal. Topology 10 (2004), no. 3, 17-22