 algebraic topology

Math.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 grouptheory methods. A wellknown topic in algebraic topology is the fourcolour map problem.* * *
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 grouptheory methods. A wellknown topic in algebraic topology is the fourcolour map problem.* * *
Universalium. 2010.
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