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The author adds some useful remarks to the former paper.
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.
Abstract
The concept of normality is defined for generalized topologies in the sense of [1], a few properties of normal spaces are proved, and their characterization with the help of a suitable form of Urysohn’s lemma is discussed.
Abstract
The paper discusses the generalization of a construction described in [6] for the case when the starting point topology is replaced by a generalized topology.
Abstract
It is shown in the paper [1] that every generalized topology can be generated by a generalized neighbourhood system. Following the paper [3], we discuss some questions related to this construction.
Abstract
As generalization of the construction of I-τ where τ is a topology and I is an ideal [11], and similarly of
Abstract
The definition of the product of topologies is generalized in such a way that topologies are replaced by generalized topologies in the sense of [3].
Abstract
It is shown that the theory of δ-and θ-modifications of topological spaces (see [3]) can be generalized for the case when the topology is replaced by a generalized topology in the sense of [1].
