combinatorial dimension
11topology — 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 …
12Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …
13CW complex — In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory. This class of spaces is broader and has some better categorical properties than simplicial complexes, but still… …
14John R. Stallings — John Robert Stallings is a mathematician known for his seminal contributions to geometric group theory and 3 manifold topology. Stallings is a Professor Emeritus in the Department of Mathematics and the University of California at Berkeley. [… …
15Polyhedral combinatorics — is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher dimensional convex polytopes.A key question in polyhedral combinatorics is to… …
16combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …
17Combinatorics — is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… …
18Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …
19Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …
20Hales–Jewett theorem — In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory, concerning the degree to which high dimensional objects must necessarily exhibit some combinatorial structure; it is impossible for such objects to… …
