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algebraic topology |
Also found in: Wikipedia | 0.01 sec. |
algebraic topologyField 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. algebraic topology [¦al·jə¦brā·ik tə′päl·ə·jē] (mathematics) The study of topological properties of figures using the methods of abstract algebra; includes homotopy theory, homology theory, and cohomology theory. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| ? Mentioned in | ? References in periodicals archive | |
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The algebraic topology serves for analysis the global system structure
and for gaining new insights into the connectivity of the individual
system elements. Rogness developed a fascination with algebraic topology,
which became his area of study in graduate school. |
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