Some Contribution To Category Theory And Set theory

摘要

It is fact that certain concepts in topology have remarkable resemblance to those from other branches of Mathematics. Our main aim is to isolate the common features to various branches of Mathematics by the concept of category theory. Further, our purpose is to introduce category theory in groups, rings, fields and other algebraic structures. Also we examine the relevant properties of the Mathematical objects which are consistent with some isomorphic objects. Our aim is to discuss the essential role of set theory in formulating the idea of isomorphism in terms of abstract structure. Attempts have been made to discuss the characteristic features of set theory and category theory. A great contribution in this regard has been made by Eilenberg & Maclane.