On some weaker forms of alexandroff spaces

Source

The Arabian Journal for Science and Engineering. Section A, Science

Issue

Vol. 23, Issue 1A (31 Jan. 1998), pp.79-89, 11 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

1998-01-31

Country of Publication

Saudi Arabia

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

Alexandroff spaces are the topological spaces in which each element is contained in a smallest open set or equivalently the spaces where arbitrary intersections of open sets are open.

In this paper we introduce and study two weaker concepts of Alexandroff spaces, namely generalized Alexandroff and semi-Alexandroff spaces.

In ri/2-spaces the concepts of Alexandroff and g-Alexandroff spaces coincide, while the class of semi-Alexandroff spaces is properly placed between the classes of Alexandroff and /''-spaces.

Math.

Subject Classification: Primary: 54G05, 54G10 Secondary: 54H05, 54G99

American Psychological Association (APA)

Arenas, Francisco G.& Dontchev, Julian& Ganster, Maximilian. 1998. On some weaker forms of alexandroff spaces. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 23, no. 1A, pp.79-89.
https://search.emarefa.net/detail/BIM-389861

Modern Language Association (MLA)

Arenas, Francisco G.…[et al.]. On some weaker forms of alexandroff spaces. The Arabian Journal for Science and Engineering. Section A, Science Vol. 23, no. 1A (Jan. 1998), pp.79-89.
https://search.emarefa.net/detail/BIM-389861

American Medical Association (AMA)

Arenas, Francisco G.& Dontchev, Julian& Ganster, Maximilian. On some weaker forms of alexandroff spaces. The Arabian Journal for Science and Engineering. Section A, Science. 1998. Vol. 23, no. 1A, pp.79-89.
https://search.emarefa.net/detail/BIM-389861

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 88-89

Record ID

BIM-389861