cohomology
111Homology (mathematics) — In mathematics (especially algebraic topology and abstract algebra), homology (in Greek ὁμός homos identical ) is a certain general procedure to associate a sequence of abelian groups or modules with a given mathematical object such as a… …
112Orthogonal group — Group theory Group theory …
113Pontryagin class — In mathematics, the Pontryagin classes are certain characteristic classes. The Pontryagin class lies in cohomology groups with index a multiple of four. It applies to real vector bundles. Definition Given a vector bundle E over M , its k th… …
114Singular homology — In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of topological invariants of a topological space X , the so called homology groups H n(X). Singular homology is a particular example of a… …
115Galois module — In mathematics, a Galois module is a G module where G is the Galois group of some extension of fields. The term Galois representation is frequently used when the G module is a vector space over a field or a free module over a ring, but can also… …
116Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …
117Hilbert's Theorem 90 — In number theory, Hilbert s Theorem 90 (or Satz 90) refers to an important result on cyclic extensions of number fields (or to one of its generalizations) that leads to Kummer theory. In its most basic form, it tells us that if L / K is a cyclic… …
118List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …
119Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… …
120Leray's theorem — In algebraic geometry, Leray s theorem relates abstract sheaf cohomology with Cech cohomology.Let mathcal F be a sheaf on a topological space X and mathcal U={U i} a countable cover of X. If mathcal F is acyclic on every finite intersection of… …
