Sınırlı ve köşeli manifoldlar

In this thesis, smooth manifolds, manifolds with boundary and manifolds with corners are examined from differential calculus point of view. As it is known, manifolds with boundary and corners are not a smooth manifold. We introduce the topological manifold and the smooth manifold. We have examined manifolds with boundary and corners as an example of smooth spaces developed in recent years in terms of diffeology. First, we have shown that these spaces are diffeological spaces, then they are diffeological manifolds. We examined the smooth functions and differential forms by utilizing the tools provided by diffeology on these spaces. We characterized the differential forms on manifolds with corners. Keywords: Differential forms, Manifolds with corners