combinatorial topology
1Combinatorial 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… …
2combinatorial 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… …
3combinatorial 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. [‡1950 55] * * * …
4topology — 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 …
5Combinatorial map — A combinatorial map is a combinatorial object modelling topological structures with subdivided objects. Historically, the concept was introduced informally by J. Edmonds for polyhedral surfaces [1] which are planar graphs. It was given its first… …
6Combinatorial 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… …
7Digital 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… …
8List of general topology topics — This is a list of general topology topics, by Wikipedia page. Contents 1 Basic concepts 2 Limits 3 Topological properties 3.1 Compactness and countability …
9List of topology topics — This is a list of topology topics, by Wikipedia page. See also: topology glossary List of general topology topics List of geometric topology topics List of algebraic topology topics List of topological invariants (topological properties)… …
10Algebraic 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… …
