The approach called Topological Functioning Modeling for Model Driven Architecture (TFM4MDA) uses Topological Functioning Model (TFM) as a formal holistic problem domain model. The approach is revolutionary, because it brings formalism to the earliest stages of software development – the analysis of problem domain, and provides formal transformations to UML design models. A copious amount of effort has been put into the development of TFM4MDA. Furthermore, TFM has not always been used in software development. This paper represents a literature survey of 69 articles about TFM and its application. The goal of this work is to trace the research of TFM and TFM4MDA approach, to throw light on the results of the research, and to reveal some weaker areas of it. The goal is successfully achieved and the conclusions are made.