SOFT PROXIMITY BASES AND SUBBASES

Authors

  • D. Singh Sri Aurobindo College, Department of Mathematics, University of Delhi, New Delhi-110017, India Author
  • B. Singh Department of Mathematics, University of Delhi, New Delhi-110007, India Author

Keywords:

Soft set, soft proximity, soft neighbourhood, soft $p$-continuous mapping, soft proximity bases, soft proximity subbases, induced soft proximity

Subjects:

54A40, 06D72, 54E05

Abstract

The purpose of this paper is to introduce the concept of soft proximity bases and subbases. We determine the relation between proximity bases (subbases) and soft proximity bases (subbases). Further, we have demonstrated that the set of all soft proximities forms a complete lattice. Also, we substantiate a few results analogous to the ones that hold for soft proximity spaces.

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Published

2021-04-15

Issue

Vol. 73 No. 2 (2021): Vol. 73, Issue 2

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.