@article{Singh2022, 
author = {Beenu Singh and Davinder Singh},
title = {δ-connectedness modulo an ideal},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {17954-17966},
keywords = {δ-connected, δ-continuous map, ideal, Smirnov compactification, proximal property},
url = {https://www.sciopen.com/article/10.3934/math.2022989},
doi = {10.3934/math.2022989},
abstract = {The aim of this paper is to introduce the notion of    δ-connectedness modulo an ideal in proximity spaces. A sufficient condition for a    δ-connected modulo an ideal proximity space to be connected modulo an ideal is defined. The notion of    δ-connectedness modulo a proximal property is defined, and several results for    δ-connectedness modulo compactness and modulo pseudocompactness are obtained.    δ-perfect map for proximity spaces is defined and it is shown that the class of    δ-perfect maps is properly contained in the class of perfect maps, and some results about    δ-perfect maps are substantiated.}
}