On the Basic Structures of Dual Space

Abstract

Topology studies the properties of spaces that are invariant under any con-tinuous deformation. Topology is needed to examine the properties of the space. Funda-mentally, the most basic structure required to do math in the space is topology. There exists little information on the expression of the basis and topology on dual space. The main point of the research is to explain how to define the basis and topology on dual space Dⁿ. Then, we will study the geometric constructions corresponding to the open balls in D and D², respectively.

An overview to analyticity of dual functions

“…Given the vectors − → e i = δ i1 , δ i2 , ..., δ in , where x ≤ D y) between these dual numbers is as follows (see [13], [14]):…”