A Study of Non-Euclidean s-Topology | Zendy

Gunjan Agrawal | Zendy; Sampada Shrivastava | Zendy

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A Study of Non-Euclidean s-Topology

Author(s) -

Gunjan Agrawal,

Sampada Shrivastava

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/896156

Subject(s) - minkowski space , topology (electrical circuits) , mathematics , general topology , countable set , second countable space , euclidean space , separable space , metric space , pure mathematics , topological space , combinatorics , mathematical analysis , geometry

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.

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