Aninvestigation Of Winding Number Of A Closed Planar Curve

This paper examines winding number of a closed planar curve through various aspects. It is related to a range on an arc in the complex plane and a point not in the range. Functions of such natures are considered to be continuous real-valued functions. Conclusion was drawn by naming a number of areas of applications

An investigation into homotopy of continuous functions

A homotopy is a continuous one-parameter family of continuous functions. This enquiry sought to find out how the various forms ranging from paths, inverses, reflexivity, symmetry and transitivity and other instances could be given in descriptive survey