On topological aspects of C03 and C2 with special emphasis on lexicographic order
Abstract
The article deals with topological structures on C03 and C2. We establish an order topology on C03 and the structure of the basis elements is developed. We revisit our earlier work on order topologies and establish some new results. Order relations are also defined on the bicomplex space and the results are compared with the previous results. We define a product topology on C2 with restriction on component spaces A1 and A2 having lexicographic order. Examples are provided to show that the results are best possible.
- Publication:
-
Recent Advances in Fundamental and Applied Sciences: RAFAS2016
- Pub Date:
- July 2017
- DOI:
- 10.1063/1.4990328
- Bibcode:
- 2017AIPC.1860b0029S