Topological Bicomplex Modules
Functional Analysis
2015-07-22 v1
Abstract
In this paper, we develop topological modules over the ring of bicomplex numbers. We discuss bicomplex convexivity, hyperbolic-valued seminorms and hyperbolic-valued Minkowski functionals in bicomplex modules. We also study the conditions under which topological bicomplex modules and locally bicomplex convex modules become hyperbolic normable and hyperbolic metrizable respectively.
Cite
@article{arxiv.1507.05816,
title = {Topological Bicomplex Modules},
author = {Romesh Kumar and Heera Saini},
journal= {arXiv preprint arXiv:1507.05816},
year = {2015}
}