Local Lie groups and local top spaces

Abstract

In this paper a generalization of local Lie groups, using the concept of top spaces, is given and some theorems about the relation between this generalization and local Lie groups are provided. 2010 MATHEMATICS SUBJECT CLASSIFICATION: 22E05; 22E15; 22E99; 22A05; 55M10 ª 2015 Production and hosting by Elsevier B.V. on behalf of Egyptian Mathematical Society.