Introduction to Abelian Spaces: A Connection with Topology


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Authors

  • Amulya Sharma 6/5, Railway Colony Lodhi Colony, Near 22 Block, New Delhi, India

Keywords:

Abelian Group, Symmetric Difference, Abelian Space

Abstract

An abelian group is an algebraic property of an algebraic structure, but it can also be considered as a metric space. This paper establishes a new concept ``Abelian Space'', a space containing a set and an operator which is not only an abelian group, but can also be viewed as a metric space. In this paper, with reference to the symmetric difference operator between two sets, it is proved that an abelian group can also be considered as an abelian ``metric'' space.

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Published

15-03-2020

How to Cite

Amulya Sharma. (2020). Introduction to Abelian Spaces: A Connection with Topology. International Journal of Mathematics And Its Applications, 8(1), 123–125. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/183

Issue

Section

Research Article