Compliance between a problem and a solution domain(s) is a well-known issue in software development. A usual way of development is focusing on the solution, and adapting the solution to the problem domain only in case of occurred issues. Sometimes, the cost of such adaptation is very high, and then the cheapest way is to change operation of the problem domain. Certainly, such ways cannot satisfy a client. This paper considers a computation independent model as a place where overcoming of the gap must occur. It discusses ways for overcoming a gap between a problem domain and a solution domain(s) that are proposed within CIMs, and suggests a mathematical mechanism, continuous mapping, provided by a topological functioning model together with its other topological and functional properties as a formal bridge between those domains. This mechanism is explained by an example.