Fulton–Hansen connectedness theorem — In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of… … Wikipedia
Grothendieck's connectedness theorem — In mathematics, Grothendieck s connectedness theorem (harvnb|Grothendieck|2005|loc=XIII.2.1,harvnb|Lazarsfeld|2004|loc=theorem 3.3.16) states that if A is a complete local ring whose spectrum is k connected and f is in the maximal ideal, then… … Wikipedia
Zariski's main theorem — In algebraic geometry, a field in mathematics, Zariski s main theorem, or Zariski s connectedness theorem, is a theorem proved by harvs|txt=yes|last=Zariski|year1=1943|year2=1949 which implies that fibers over normal points of birational… … Wikipedia
Cartan–Hadamard theorem — The Cartan–Hadamard theorem is a statement in Riemannian geometry concerning the structure of complete Riemannian manifolds of non positive sectional curvature. The theorem states that the universal cover of such a manifold is diffeomorphic to a… … Wikipedia
Identity theorem — In complex analysis, the identity theorem for holomorphic functions states: given functions f and g holomorphic on a connected open set D , if f = g on some neighborhood of z that is in D , then f = g on D . Thus a holomorphic function is… … Wikipedia
Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … Wikipedia
List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… … Wikipedia
Séminaire 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… … Wikipedia