Doing algebraic topology assignments, you face

  • complicated algebraic theorems, formulas, concepts and equations;
  • important algebraic topology theorems, including Borsuk-Ulam theorem, Kunneth theorem, Brouwer fixed point theorem, Freudenthal suspension theorem, Universal coefficient theorem, Poincaré duality theorem, Cellular approximation theorem, Van Kampen's theorem etc.;
  • numerous applications of algebraic topology.

Algebraic topology is one of the braches of mathematics, which focuses on the study of general topological spaces by means of applying abstract algebra tools. Though it may seem that there is nothing complicated in doing algebraic topology tasks, it is not really so, because successful algebraic topology solutions require skillfulness and application of other mathematical disciplines, such as advanced mathematics, Algebra, Calculus, Geometry, general Topology etc.

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