Continuous Deformations in Nano Topological Spaces

الملخص

Continuous deformations theory is an exciting and very rapidly expanding research that arose from algebraic topology. Regarding this, the existing work is concerned with studying an important special case of continuous deformations, so-called nano continuous deformations, which are a new class of transformations designed for nano spaces. Building on these deformations, we present the concept of nano homotopy equivalence. It is a framework that classifies nano spaces according to the existence of nano continuous deformations between them. Consequently, the most significant results have been provided concerning these deformations.