Point-Set Topology assignments presuppose:

• profound knowledge of related mathematical sciences;
• the study of open and closed sets, continuous functions, separation and countability axioms, convergence of sequences, filters and nets, compactness and connectedness etc.;
• awareness of complicated topological structures, notions and concepts.

Point-set topology focuses on the study of topological structures and metric spatial relationships, including linear spaces. That is why the majority of point-set topology assignments are quite complicated and require skillfulness and considerable practice. Moreover, point-set topology is based on other mathematical disciplines, since it applies theorems, equations and formulas used in Algebra, Geometry, Calculus etc. In this respect, successful accomplishment of point-set assignments implies the knowledge of these disciplines as well.

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