On strong generalized topology generated by the porosity

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2025-01-23 DOI:10.1016/j.topol.2025.109223

Jacek Hejduk, Piotr Nowakowski

引用次数: 0

Abstract

This paper presents the strong generalized topology of sets having the property that every element is the porosity point of its complement. In the frame of generalized topology the fundamental topological properties are investigated including the separation axioms. There is the aspect of delving into the study of continuity including the notion of the approximate continuity.

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

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