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combinatorial topology[kəm‚bī·nə′tȯr·ē·əl tə′päl·ə·jē]
the branch of topology that studies topological properties of geometric figures by decomposing them into more elementary figures (a relevant example is the technique of subdividing polyhedra into simplexes) or by covering them with systems of sets. This method can be applied, as has been shown primarily by Soviet scientists, under the broadest assumptions regarding the figures being studied.
REFERENCESAleksandrov, P. S. Kombinatornaia topologiia. Moscow-Leningrad, 1947.
Pontriagin, L. S. Osnovy kombinatornoi topologii. Moscow-Leningrad, 1947.