On zero dimensional space and its retraction

摘要

There are different types of dimensions like Hausdorff dimension, covering dimension, iterative dimension and embedding dimension, and recently fractal dimension. Among these dimensions we will introduce the zero-dimension which is the smallest dimension, we can deal with it. We know dimx=−1 if x=φ. In this paper, we will discuss the concept of retraction and folding of zero dimension space and the relation between them. Theorems which gone runs between the end of the limits of foldings and minimal retractions will be achieved.