combinatorial topology

Math.the branch of topology that deals with the properties of geometric figures by considering the figures as being composed of elementary geometric figures, as points or lines.[‡195055]
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Universalium. 2010.
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Combinatorial topology — In mathematics, combinatorial topology was an older name for algebraic topology, dating from the time when topological invariants of spaces (for example the Betti numbers) were regarded as derived from combinatorial decompositions such as… … Wikipedia
combinatorial topology — noun : a study that deals with geometric forms based on their decomposition into combinations of the simplest geometric figures * * * Math. the branch of topology that deals with the properties of geometric figures by considering the figures as… … Useful english dictionary
topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c … Universalium
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Combinatorial group theory — In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in a… … Wikipedia
Digital topology — deals with properties and features of two dimensional (2D) or three dimensional (3D) digital images that correspond to topological properties (e.g., connectedness) or topological features (e.g., boundaries) of objects. Concepts and results of… … Wikipedia
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Algebraic topology — is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism. In many situations this is too much to hope for… … Wikipedia
List of algebraic topology topics — This is a list of algebraic topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of geometric topology topics Publications in topology Topological property Contents 1… … Wikipedia