Technical Elements with Topological Support

A Topology Named Clan

With the aim of advancing in the construction of technical elements capable of being used in the solution of economics and management problems, we will begin with the already presented axiom of the topology which we reproduce in continuation:

• 1 $\O \in T(E)$

• 2 E ∈ T(E)

• 3 (A _j  ∈ T(E), A _k ∈ T(E)) ⇒ (A _j  ∩ A _k ) ∈ T(E)

• 4 (A _j  ∈ T(E), A _k ∈ T(E)) ⇒ (A _j  ∪ A _k ) ∈ T(E)

  If we add a fifth axiom to these four:

• 5 (A _j  ∈ T(E)) ⇒ $(\overline{A}_{j} \in T(E))$