Continuity as a Galaxy of Hyperreal Functions

Abstract

In the present paper, the problem of defining continuity and s-continuity as a galaxy of hyperreal function is discussed. Our attempt is based on the fact that monads are subsets of some galaxies. New results are obtained, with nonstandard variables, related to a new extension of the continuity notion.

Keywords

• continuity
• s- continuity
• monads
• galaxy