Topology assignments typically involve

  • a number of subfields, including point-set, algebraic and geometrical topology, which require fundamental mathematical knowledge;
  • the study of general topology theorems (Heine–Borel theorem, Tychonoff's theorem, the metrization theorems, the Tietze extension theorem, The Baire category theorem), dealing with metric spatial relationships and intervals;
  • the identification of topology course objectives that usually cause problems.

Topology is one of the mathematical areas, dealing with spatial characteristics. The main object of topological study is topological space. The accomplishment of topology course assignments is not easy, since it implies the fundamental knowledge of other related sciences and notions, such as Geometry, Algebra, Calculus, Set Theory etc.

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