# algebraic topology

algebraic topology
the branch of mathematics that deals with the application of algebraic methods to topology, esp. the study of homology and homotopy.

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Field of mathematics that uses algebraic structures to study transformations of geometric objects.

It uses functions (often called maps in this context) to represent continuous transformations (see topology). Taken together, a set of maps and objects may form an algebraic group, which can be analyzed by group-theory methods. A well-known topic in algebraic topology is the four-colour map problem.

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Field of mathematics that uses algebraic structures to study transformations of geometric objects. It uses functions (often called maps in this context) to represent continuous transformations (see topology). Taken together, a set of maps and objects may form an algebraic group, which can be analyzed by group-theory methods. A well-known topic in algebraic topology is the four-colour map problem.

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Universalium. 2010.

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