Hereditary properties of hyperspaces

Abstract

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.

Full Text

Article Information

Title	Hereditary properties of hyperspaces
Source	Methods Funct. Anal. Topology, Vol. 16 (2010), no. 1, 1-5
MathSciNet	MR2656126
Copyright	The Author(s) 2010 (CC BY-SA)

Authors Information

R. B. Beshimov
National Mirzo Ulugbek University of Uzbekistan, Vuzgorodok, Tashkent, 100184, Uzbekistan 

Citation Example

R. B. Beshimov, Hereditary properties of hyperspaces, Methods Funct. Anal. Topology 16 (2010), no. 1, 1-5.

BibTex

@article {MFAT478,
    AUTHOR = {Beshimov, R. B.},
     TITLE = {Hereditary properties of hyperspaces},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {16},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {1-5},
      ISSN = {1029-3531},
  MRNUMBER = {MR2656126},
       URL = {http://mfat.imath.kiev.ua/article/?id=478},
}