Modification of generalized topologies via hereditary classes

Author: Császár, Á.

Source: Acta Mathematica Hungarica, Volume 115, Numbers 1-2, April 2007 , pp. 29-36(8)

Publisher: Springer

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Abstract:

The purpose of the paper is to show that the construction leading from a topology and an ideal of sets to another topology remains valid, together with a lot of applications, if topology is replaced by generalized topology and ideal by hereditary class.

Keywords: generalized topology; hereditary class; codense class; strongly codense class; rare set; base for a generalized topology; σ- set; π- -set; α- -set; β- -set; β*- -set; δ- -set; 54A05; 54A10