Two new topological cardinal inequalities

Author:
Shu Hao Sun

Journal:
Proc. Amer. Math. Soc. **104** (1988), 313-316

MSC:
Primary 54A25

MathSciNet review:
958090

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, two new cardinal inequalities are obtained. The first one is a common generalization of inequalities of Hajnal-Juhasz and Sapirovskii; the second one generalizes the inequality of Arhangelskiĭ.

**[1]**R. Engelking,*General topology*, PWN, Warszawa, 1977.**[2]**R. E. Hodel,*Cardinal functions*. I, Handbook of Set-Theoretic Topology (K. Kunen and J. E. Vaughan, eds.), North-Holland, 1984, pp. 1-61.**[3]**I. Juhasz,*Cardinal functions in topology--ten years later*, Math. Centrum, Amsterdam, 1980.**[4]**B. Sapirovskii,*Canonical sets and character, density and weight in compact spaces*, Soviet Math. Dokl.**15**(1974), 1282-1287.

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
54A25

Retrieve articles in all journals with MSC: 54A25

Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1988-0958090-8

Keywords:
Cardinal inequality,
strong pseudo-character,
quasi-dense

Article copyright:
© Copyright 1988
American Mathematical Society