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Keywords

Continuity
s- continuity
monads
galaxy

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.  
https://doi.org/10.33899/csmj.2008.163974
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