Some topological properties of the spaces expX, λX and NX

Abstract

In this paper we prove that the exponential functor exp and the functor of superextension λ preserve some topological properties with respect to the topology of any T1 -space, and the functor of complete linked systems N preserves some topological properties with respect to the topology of any compact space.

Keywords

• π-base
• exponential functor exp
• the functor of superextensionλ
• the functor of complete linked systems N