@article{Qasim2023, 
author = {Muhammad Qasim and Arbaz Jehan Khan and Samirah Alsulami and Shoaib Assar},
title = {Some topological aspects of interval spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {3826-3841},
keywords = {zero-dimensional, topological category, interval space, convex space, separated, Hausdorff, initial lift},
url = {https://www.sciopen.com/article/10.3934/math.2023190},
doi = {10.3934/math.2023190},
abstract = {In previous papers, several        T          0      ,        T          2       objects,    D-connectedness and zero-dimensionality in topological categories have been introduced and compared. In this paper, we characterize separated objects,        T          0      ,                      T                  0                    ,        T          1      , Pre-       T          2       and several versions of Hausdorff objects in the category of interval spaces and interval-preserving mappings and examine their mutual relationship. Further, we give the characterization of the notion of closedness and    D-connectedness in interval spaces and study some of their properties. Finally, we introduce zero-dimensionality in this category and show its relation to    D-connectedness.}
}