A Study of Non-Euclidean s-Topology

Gunjan Agrawal, Sampada Shrivastava
2012 ISRN Mathematical Analysis  
The present paper focuses on the characterization of compact sets of Minkowski space with a non-Euclidean -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 -topology is not simply connected. Also, it is obtained that the -dimensional Minkowski space with -topology is separable, first countable, path-connected, nonregular, nonmetrizable, nonsecond countable, noncompact, and non-Lindelöf.
doi:10.5402/2012/896156 fatcat:vigfturp4reyhjwdwpw3ihe6de