PROPERTIES OF THE COVERED TOPOLOGICAL SPACES

In this paper, the term linear relationship is considered. Then, covered spaces are defined, properties of the ascent are proved and relationship with a fundamental group is considered. The construction that leads to covered spaces is also discussed, the term of covers’ equivalence and the relationship between main groups and slippery covers. In the end, differentiable and affine covers are presented. All topological spaces considered are believed to be Hausdorff.