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Information Journal Paper

Title

Proximity spaces via hereditary classes

Pages

  231-241

Abstract

 A hereditary class on a set X is a nonempty collection of subsets of X which is closed under subsets. In this paper, we present a new structure of proximity spaces by using a hereditary class, called H-proximity spaces, as a generalization of Efremoviˇ, c proximity spaces, I-proximity spaces and coarse proximity spaces. Some properties of this proximity structure and generalized topology induced by it are studied.

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  • Cite

    APA: Copy

    Mirhosseinkhani, Gh.. (2022). Proximity spaces via hereditary classes. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 11(4), 231-241. SID. https://sid.ir/paper/1036457/en

    Vancouver: Copy

    Mirhosseinkhani Gh.. Proximity spaces via hereditary classes. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2022;11(4):231-241. Available from: https://sid.ir/paper/1036457/en

    IEEE: Copy

    Gh. Mirhosseinkhani, “Proximity spaces via hereditary classes,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 11, no. 4, pp. 231–241, 2022, [Online]. Available: https://sid.ir/paper/1036457/en

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