This textbook is devoted to the study of soft fuzzy sets which would be most helpful to the researchers who is interested in the area of topological concepts such as connectedness, compactness, filters, ideals, foldings, etc. The author gave a discussion on the general topological concepts and later extend her ideas on low-dimensional topological notions such as manifolds, knots, etc., analogous to the soft fuzzy theory. Several characterizations and plenty of examples are incorporated explicitly. Many concepts are illustrated with diagrams legibly.