homology group
71Cyclomatic complexity — (or conditional complexity) is a software metric (measurement). It was developed by Thomas J. McCabe, Sr. in 1976 and is used to indicate the complexity of a program. It directly measures the number of linearly independent paths through a program …
72Size functor — Given a size pair (M,f) where M is a manifold of dimensionn and f is an arbitrary real continuous function definedon it, the i th size functor Francesca Cagliari, Massimo Ferri, Paola Pozzi, Size functions from a categorical viewpoint , Acta… …
73Solenoid (mathematics) — This page discusses a class of topological groups. For the wrapped loop of wire, see Solenoid. The Smale Williams solenoid. In mathematics, a solenoid is a compact connected topological space (i.e. a continuum) that may be obtained as the inverse …
74Degree of a continuous mapping — This article is about the term degree as used in algebraic topology. For other uses, see degree (mathematics). A degree two map of a sphere onto itself. In topology, the degree is a numerical invariant that describes a continuous mapping between… …
75Eilenberg-Moore spectral sequence — In mathematics, in the field of algebraic topology, the Eilenberg Moore spectral sequence addresses the calculation of the homology groups of a pullback over a fibration. The spectral sequence formulates the calculation from knowledge of the… …
76Chain (algebraic topology) — This article is about algebraic topology. For the term chain in order theory, see chain (order theory). In algebraic topology, a simplicial k chain is a formal linear combination of k simplices.[1] Integration on chains Integration is defined on… …
77Burau representation — In mathematics the Burau representation is a representation of the braid groups. The Burau representation has two common and near equivalent formulations, the reduced and unreduced Burau representations. Definition Consider the braid group B n to …
78Lefschetz fixed-point theorem — In mathematics, the Lefschetz fixed point theorem is a formula that counts the number of fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X . It …
79Fundamental class — For the fundamental class in class field theory see class formation. In mathematics, the fundamental class is a homology class [M] associated to an oriented manifold M, which corresponds to the whole manifold , and pairing with which corresponds… …
80Hodge structure — In mathematics, a Hodge structure, named after W. V. D. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge theory gives to the cohomology groups of a smooth and compact Kähler manifold. A mixed Hodge… …
