A Study of Non-Euclidean s-Topology. (5th July 2012)

• Record Type: Journal Article
• Authors: Agrawal, Gunjan; Shrivastava, Sampada
• Other Names: Cleaver G. Academic Editor.; Znojil M. Academic Editor.
• Is Part Of: ISRN mathematical physics. Volume 2012(2012)
• Publication Date: 2012-07-05
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Electronic journals; Periodicals; 530.15
• DOI: 10.5402/2012/896156
• Languages: English
• ISSNs: 2090-4673

Abstract

Abstract : The present paper focuses on the characterization of compact sets of Minkowski space with a non-Euclidean s -topology which is defined in terms of Lorentz metric. As an application of this study, it is proved that the 2-dimensional Minkowski space with s -topology is not simply connected. Also, it is obtained that the n -dimensional Minkowski space with s -topology is separable, first countable, path-connected, nonregular, nonmetrizable, nonsecond countable, noncompact, and non-Lindelöf.