English

Strongly near proximity \& hyperspace topology

General Topology 2015-03-10 v3

Abstract

This article introduces strongly near proximity, which represents a new kind of proximity called \emph{almost proximity}. A main result in this paper is the introduction of a hit-and-miss topology on CL(X){CL}(X), the hyperspace of nonempty closed subsets of XX, based on the strongly near proximity.

Keywords

Cite

@article{arxiv.1502.05913,
  title  = {Strongly near proximity \& hyperspace topology},
  author = {J. F. Peters and C. Guadagni},
  journal= {arXiv preprint arXiv:1502.05913},
  year   = {2015}
}

Comments

7 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1502.02771

R2 v1 2026-06-22T08:34:05.734Z