Dyadic spaces and their generalization-combinatorial aspects
by
Marian Turzanski
Cardinal Stefan Wyszynski University in Warsaw

The class of dyadic spaces, the continuous images of generalized Cantor discontinua, is one of the most interesting class. In seventies a new approach, conserning the theory of dyadic spaces, appered. A. V. Arhangelski introduced the clas of dantian spaces. After him several generalizations have been introduced. The common future of these generalizations is that many theorems which where originally proved for dyadic spaces can be also proved for these new classes. The aim of these presentation is to introduce the generalization of the Bolzano-Weierstrass principle of choice, the oldest method of set theory and aply it to the generalizations of dyadic spaces.

Date received: June 3, 2003